Multiple ChoiceUse substitution to solve the following system of linear equations.4x+y=14x+y=14x+y=1x−y=4x-y=4x−y=4285views3rank
Multiple ChoiceUse substitution to solve the following system of linear equations.4x+2y=74x+2y=74x+2y=7x+5y=4x+5y=4x+5y=4254views3comments
Multiple ChoiceUse the elimination method to solve the following system of linear equations.2x+y=12x+y=12x+y=13x−y=43x-y=43x−y=4245views2rank
Multiple ChoiceUse the elimination method to solve the following system of linear equations.10x−4y=510x-4y=510x−4y=55x−4y=15x-4y=15x−4y=1362views3rank
Multiple ChoiceSolve the following system of equations. Classify it as CONSISTENT (INDEPENDENT or DEPENDENT) or INCONSISTENT.y=5x−17y=5x-17y=5x−1715x−3y=5115x-3y=5115x−3y=51224views3rank
Multiple ChoiceSolve the following system of equations. Classify it as CONSISTENT (INDEPENDENT or DEPENDENT) or INCONSISTENT.2x+8y=72x+8y=72x+8y=7x+4y=19x+4y=19x+4y=19231views4rank
Textbook QuestionUse the substitution or elimination method to solve each system of equations. Identify any inconsistent systems or systems with infinitely many solutions. If a system has infinitely many solutions, write the solution set with y arbitrary. 2x + 6y = 6 5x + 9y = 9301views
Textbook QuestionIn Exercises 1–4, determine whether the given ordered pair is a solution of the system. (2, 3) x + 3y = 11 x - 5y = - 13492views
Textbook QuestionIn Exercises 1–5, solve by the method of your choice. Identify systems with no solution and systems with infinitely many solutions, using set notation to express their solution sets.360views
Textbook QuestionIn Exercises 1–4, determine whether the given ordered pair is a solution of the system. (- 3, 5) 9x + 7y = 8 8x - 9y = - 69305views
Textbook QuestionIn Exercises 1–5, solve by the method of your choice. Identify systems with no solution and systems with infinitely many solutions, using set notation to express their solution sets.265views
Textbook QuestionIn Exercises 1–5, solve by the method of your choice. Identify systems with no solution and systems with infinitely many solutions, using set notation to express their solution sets.265views
Textbook QuestionIn Exercises 1–4, determine whether the given ordered pair is a solution of the system. (2, 5) 2x + 3y = 17 x + 4y = 16374views
Textbook QuestionUse the substitution or elimination method to solve each system of equations. Identify any inconsistent systems or systems with infinitely many solutions. If a system has infinitely many solutions, write the solution set with y arbitrary. 1/6x + 1/3y = 8 1/4x + 1/2y = 12415views
Textbook QuestionIn Exercises 5–18, solve each system by the substitution method. x + y = 4 y = 3x274views
Textbook QuestionA chemist needs to mix a solution that is 34% silver nitrate with one that is 4% silver nitrate to obtain 100 milliliters of a mixture that is 7% silver nitrate. How many milliliters of each of the solutions must be used?474views
Textbook QuestionIn Exercises 5–18, solve each system by the substitution method. x + 3y = 8 y = 2x - 9243views
Textbook QuestionA chemist needs to mix a solution that is 34% silver nitrate with one that is 4% silver nitrate to obtain 100 milliliters of a mixture that is 7% silver nitrate. How many milliliters of each of the solutions must be used?474views
Textbook QuestionThe perimeter of a table tennis top is 28 feet. The difference between 4 times the length and 3 times the width is 21 feet. Find the dimensions. 206views
Textbook QuestionIn Exercises 5–18, solve each system by the substitution method. x = 4y - 2 x = 6y + 8331views
Textbook QuestionSolve each problem. Alcohol MixtureBarak wishes to strengthen a mixture that is 10% alcohol to onethat is 30% alcohol. How much pure alcohol should he add to 12 L of the 10% mixture?182views
Textbook QuestionIn Exercises 5–18, solve each system by the substitution method. 5x + 2y = 0 x - 3y = 0257views
Textbook QuestionIn Exercises 5–18, solve each system by the substitution method. 5x + 2y = 0 x - 3y = 0257views
Textbook QuestionIn Exercises 5–18, solve each system by the substitution method. 2x + 5y = - 4 3x - y = 11240views
Textbook QuestionIn Exercises 5–18, solve each system by the substitution method. 2x - 3y = 8 - 2x 3x + 4y = x + 3y + 14284views
Textbook QuestionSolve each system by substitution. See Example 1. -2x = 6y + 18 -29 = 5y - 3x318views
Textbook QuestionSolve each problem using a system of equations. A company sells recordable CDs for $0.80 each and play-only CDs for $0.60 each. The company receives $76.00 for an order of 100 CDs. However, the customer neglected to specify how many of each type to send. Determine the number of each type of CD that should be sent.184views
Textbook QuestionIn Exercises 5–18, solve each system by the substitution method. y = (1/3)x + 2/3 y = (5/7)x - 2214views
Textbook QuestionSolve each system by elimination. In systems with fractions, first clear denominators. See Example 2. 4x + y = -23 x - 2y = -17165views
Textbook QuestionIn Exercises 19–30, solve each system by the addition method. x + y = 1 x - y = 3287views
Textbook QuestionIn Exercises 19–30, solve each system by the addition method. 2x + 3y = 6 2x - 3y = 6261views
Textbook QuestionIn Exercises 19–30, solve each system by the addition method. 2x + 3y = 6 2x - 3y = 6261views
Textbook QuestionIn Exercises 19–30, solve each system by the addition method. x + 2y = 2 - 4x + 3y = 25288views
Textbook QuestionSolve each system by elimination. In systems with fractions, first clear denominators. See Example 2. 5x + 7y = 6 10x - 3y = 46209views
Textbook QuestionIn Exercises 19–30, solve each system by the addition method. 4x + 3y = 15 2x - 5y = 1216views
Textbook QuestionSolve each system by elimination. In systems with fractions, first clear denominators. See Example 2. 6x + 7y + 2 = 0 7x - 6y - 26 = 0459views
Textbook QuestionIn Exercises 19–30, solve each system by the addition method. 3x - 4y = 11 2x + 3y = - 4251views
Textbook QuestionSolve each system by elimination. In systems with fractions, first clear denominators. See Example 2. x/2+ y/3 = 4 3x/2+3y/2 = 15195views
Textbook QuestionSolve each system by elimination. In systems with fractions, first clear denominators. See Example 2. (2x-1)/3 + (y+2)/4 = 4 (x+3)/2 - (x-y)/2 = 3305views
Textbook QuestionIn Exercises 19–30, solve each system by the addition method. 3x = 4y + 1 3y = 1 - 4x221views
Textbook QuestionIn Exercises 31–42, solve by the method of your choice. Identify systems with no solution and systems with infinitely many solutions, using set notation to express their solution sets. x = 9-2y x + 2y = 13253views
Textbook QuestionSolve each system of equations. State whether it is an inconsistent system or has infinitely many solutions. If a system has infinitely many solutions, write the solution set with x arbitrary. See Examples 3 and 4. 9x - 5y = 1 -18x + 10y = 1333views
Textbook QuestionIn Exercises 31–42, solve by the method of your choice. Identify systems with no solution and systems with infinitely many solutions, using set notation to express their solution sets. y = 3x - 5 21x - 35 = 7y234views
Textbook QuestionIn Exercises 31–42, solve by the method of your choice. Identify systems with no solution and systems with infinitely many solutions, using set notation to express their solution sets. 3x - 2y = − 5 4x + y = 8209views
Textbook QuestionSolve each system of equations. State whether it is an inconsistent system or has infinitely many solutions. If a system has infinitely many solutions, write the solution set with x arbitrary. See Examples 3 and 4. 5x - 5y - 3 = 0 x - y - 12 = 0322views
Textbook QuestionIn Exercises 31–42, solve by the method of your choice. Identify systems with no solution and systems with infinitely many solutions, using set notation to express their solution sets. x + 3y = 2 3x + 9y = 6213views
Textbook QuestionIn Exercises 31–42, solve by the method of your choice. Identify systems with no solution and systems with infinitely many solutions, using set notation to express their solution sets. x + 3y = 2 3x + 9y = 6213views
Textbook QuestionIn Exercises 31–42, solve by the method of your choice. Identify systems with no solution and systems with infinitely many solutions, using set notation to express their solution sets. x/4 - y/4 = −1 x + 4y = -9234views
Textbook QuestionIn Exercises 31–42, solve by the method of your choice. Identify systems with no solution and systems with infinitely many solutions, using set notation to express their solution sets. 2x = 3y + 4 4x = 3 - 5y215views
Textbook QuestionDetermine the system of equations illustrated in each graph. Write equations in standard form. 316views
Textbook QuestionDetermine the system of equations illustrated in each graph. Write equations in standard form. 264views
Textbook QuestionIn Exercises 43–46, let x represent one number and let y represent the other number. Use the given conditions to write a system of equations. Solve the system and find the numbers. The sum of two numbers is 7. If one number is subtracted from the other, their difference is -1. Find the numbers.213views
Textbook QuestionIn Exercises 47–48, solve each system by the method of your choice. (x + 2)/2 - (y + 4)/3 = 3 (x + y)/5 = (x - y)/2 - 5/2293views
Textbook QuestionIn Exercises 47–48, solve each system by the method of your choice. (x - y)/3 = (x + y)/2 - 1/2 (x + 2)/2 - 4 = (y + 4)/3201views
Textbook QuestionIn Exercises 47–48, solve each system by the method of your choice. (x - y)/3 = (x + y)/2 - 1/2 (x + 2)/2 - 4 = (y + 4)/3201views
Textbook QuestionIn Exercises 49–50, solve each system for x and y, expressing either value in terms of a or b, if necessary. Assume that a ≠ 0, b ≠ 0 5ax + 4y = 17 ax + 7y = 22313views
Textbook QuestionSolve each system. (Hint: In Exercises 69–72, let 1/x = t and 1/y = u.) 2/x + 3/y = 18 4/x - 5/y = -8168views
Textbook QuestionUse a system of linear equations to solve Exercises 73–84. How many ounces of a 15% alcohol solution must be mixed with 4 ounces of a 20% alcohol solution to make a 17% alcohol solution?193views
Textbook QuestionFor what value(s) of k will the following system of linear equations have no solution? infinitely many solutions? x - 2y = 3 -2x + 4y = k347views
Textbook QuestionUse a system of linear equations to solve Exercises 73–84. How many ounces of a 50% alcohol solution must be mixed with 80 ounces of a 20% alcohol solution to make a 40% alcohol solution?193views
Textbook QuestionUse a system of equations to solve each problem. See Example 8. Find an equation of the line y = ax + b that passes through the points (-2, 1) and (-1, -2).263views
Textbook QuestionUse a system of equations to solve each problem. See Example 8. Find an equation of the parabola y = ax^2 + bx + c that passes through the points (2, 3), (-1, 0), and (-2, 2).247views
Textbook QuestionExercises 86–88 will help you prepare for the material covered in the first section of the next chapter. a. Does (4, −1) satisfy x + 2y = 2? b. Does (4, -1) satisfy x- 2y= 6?210views
Textbook QuestionExercises 86–88 will help you prepare for the material covered in the first section of the next chapter. a. Does (4, −1) satisfy x + 2y = 2? b. Does (4, -1) satisfy x- 2y= 6?210views
Textbook QuestionSolve each problem. See Examples 5 and 9. The sum of two numbers is 47, and the difference between the numbers is 1. Find the numbers.169views
Textbook QuestionFind the length and width of a rectangle whose perimeter is 40 feet and whose area is 96 square feet.59views
Textbook QuestionFind the length and width of a rectangle whose perimeter is 36 feet and whose area is 77 square feet.52views
Textbook QuestionIn Exercises 43–46, let x represent one number and let y represent the other number. Use the given conditions to write a system of nonlinear equations. Solve the system and find the numbers. The difference between the squares of two numbers is 3. Twice the square of the first number increased by the square of the second number is 9. Find the numbers.57views
Textbook QuestionIn Exercises 43–46, let x represent one number and let y represent the other number. Use the given conditions to write a system of nonlinear equations. Solve the system and find the numbers. The sum of two numbers is 10 and their product is 24. Find the numbers.55views
Textbook QuestionIn Exercises 29–42, solve each system by the method of your choice. x^2+y^2+3y=22, 2x+y=−179views
Textbook QuestionIn Exercises 29–42, solve each system by the method of your choice. y=(x+3)^2, x+2y=−262views
Textbook QuestionIn Exercises 29–42, solve each system by the method of your choice. x^2+(y−2)^2=4, x^2−2y=064views
Textbook QuestionIn Exercises 29–42, solve each system by the method of your choice. x^3+y=0, x^2−y=054views
Textbook QuestionIn Exercises 29–42, solve each system by the method of your choice. x^2+4y^2=20, x+2y=675views
Textbook QuestionIn Exercises 29–42, solve each system by the method of your choice. 2x^2+y^2=18, xy=456views
Textbook QuestionIn Exercises 29–42, solve each system by the method of your choice. 3x^2+4y^2=16, 2x^2−3y^2=554views
Textbook QuestionIn Exercises 19–28, solve each system by the addition method. y^2−x=4, x^2+y^2=475views
Textbook QuestionIn Exercises 19–28, solve each system by the addition method. x^2+y^2=25, (x−8)^2+y^2=4178views
Textbook QuestionIn Exercises 19–28, solve each system by the addition method. 3x^2+4y^2−16=0, 2x^2−3y^2−5=067views
Textbook QuestionIn Exercises 19–28, solve each system by the addition method. x^2−4y^2=−7, 3x^2+y^2=3171views
Textbook QuestionIn Exercises 47–52, solve each system by the method of your choice. 3/x^2+1/y^2=7, 5/x^2−2/y^2=−365views
Textbook QuestionIn Exercises 47–52, solve each system by the method of your choice. −4x+y=12, y=x^3+3x^266views
Textbook QuestionIn Exercises 19–28, solve each system by the addition method. x^2+y^2=13,x^2−y^2=5103views
Textbook QuestionIn Exercises 1–18, solve each system by the substitution method. x+y=1, (x-1)^2+(y+2)^2=10122views
Textbook QuestionIn Exercises 1–18, solve each system by the substitution method. x+y=1, x^2+xy-y^2=-572views
Textbook QuestionIn Exercises 1–18, solve each system by the substitution method. xy=3, x^2+y^2=1061views
Textbook QuestionIn Exercises 1–18, solve each system by the substitution method. y^2=x^2-9, 2y=x-393views
Textbook QuestionIn Exercises 1–18, solve each system by the substitution method. xy=6, 2x-y=155views
Textbook QuestionIn Exercises 1–18, solve each system by the substitution method. x^2+y^2=25, x-y=1108views
Textbook QuestionIn Exercises 1–18, solve each system by the substitution method. y=x^2-4x-10, y=-x^2-2x+1469views
Textbook QuestionIn Exercises 1–18, solve each system by the substitution method. x+y=2, y=x^2-4x+474views
Textbook QuestionIn Exercises 1–18, solve each system by the substitution method. x+y=2, y=x^2−471views
Textbook QuestionThe perimeter of a rectangle is 26 meters and its area is 40 square meters. Find its dimensions.301views
Textbook QuestionIn Exercises 25–35, solve each system by the method of your choice. This is a piecewise function, refer to textbook problem.68views
Textbook QuestionIn Exercises 25–35, solve each system by the method of your choice. This is a piecewise function, refer to textbook problem.51views
Textbook QuestionIn Exercises 25–35, solve each system by the method of your choice. This is a piecewise function, refer to textbook problem.64views
Textbook QuestionAnswer each of the following. When appropriate, fill in the blank to correctly complete the sentence. The following nonlinear system has two solutions, one of which is (3,____). x + y = 7 x^2 + y^2 = 2533views
Textbook QuestionAnswer each of the following. When appropriate, fill in the blank to correctly complete the sentence. The following nonlinear system has two solutions, one of which is (___, 3). 2x + y = 1 x^2 + y^2 = 1032views
Textbook QuestionAnswer each of the following. When appropriate, fill in the blank to correctly complete the sentence. If we want to solve the following nonlinear system by substitution and we decide to solve equation (2) for y, what will be the resulting equation when the substitution is made into equation (1)? x^2 + y = 2 (1) x - y = 0 (2)33views
Textbook QuestionSolve each problem using a system of equations in two variables. See Example 6. Find two numbers whose sum is 17 and whose product is 42.33views
Textbook QuestionSolve each problem using a system of equations in two variables. See Example 6. Find two numbers whose squares have a sum of 100 and a difference of 28.35views
Textbook QuestionVerify that the points of intersection specified on the graph of each nonlinear system are solutions of the system by substituting directly into both equations. 2x^2 = 3y + 23 y = 2x - 5 29views
Textbook QuestionVerify that the points of intersection specified on the graph of each nonlinear system are solutions of the system by substituting directly into both equations. y = 3x^2 x^2 + y^2 = 10 29views
Textbook QuestionSolve each nonlinear system of equations. Give all solutions, including those with nonreal complex components. See Examples 1–5. x^2 - y = 0 x + y = 235views
Textbook QuestionSolve each nonlinear system of equations. Give all solutions, including those with nonreal complex components. See Examples 1–5. y = x^2 - 2x + 1 x - 3y = -132views
Textbook QuestionSolve each nonlinear system of equations. Give all solutions, including those with nonreal complex components. See Examples 1–5. y = x^2 + 6x + 9 x + 2y = -229views
Textbook QuestionSolve each nonlinear system of equations. Give all solutions, including those with nonreal complex components. See Examples 1–5. y = 6x + x^2 4x - y = -334views
Textbook QuestionSolve each nonlinear system of equations. Give all solutions, including those with nonreal complex components. See Examples 1–5. x^2 + y^2 = 5 -3x + 4y = 238views
Textbook QuestionSolve each nonlinear system of equations. Give all solutions, including those with nonreal complex components. See Examples 1–5. x^2 + y^2 = 10 2x^2 - y^2 = 1749views
Textbook QuestionSolve each nonlinear system of equations. Give all solutions, including those with nonreal complex components. See Examples 1–5. x^2 + y^2 = 0 2x^2 - 3y^2 = 032views
Textbook QuestionSolve each nonlinear system of equations. Give all solutions, including those with nonreal complex components. See Examples 1–5. x^2 + 2y^2 = 9 x^2 + y^2 = 2557views
Textbook QuestionSolve each nonlinear system of equations. Give all solutions, including those with nonreal complex components. See Examples 1–5. 3x^2 + 5y^2 = 17 2x^2 - 3y^2 = 538views
Textbook QuestionSolve each nonlinear system of equations. Give all solutions, including those with nonreal complex components. See Examples 1–5. 5x^2 - 2y^2 = 25 10x^2 + y^2 = 5040views
Textbook QuestionSolve each nonlinear system of equations. Give all solutions, including those with nonreal complex components. See Examples 1–5. 2xy + 1 = 0 x + 16y = 228views
Textbook QuestionSolve each nonlinear system of equations. Give all solutions, including those with nonreal complex components. See Examples 1–5. 3x^2 - y^2 = 11 xy = 1256views
Textbook QuestionSolve each problem using a system of equations in two variables. See Example 6. Find two numbers whose ratio is 9 to 2 and whose product is 162.39views
Textbook QuestionSolve each problem using a system of equations in two variables. See Example 6. Find two numbers whose ratio is 4 to 3 and are such that the sum of their squares is 100.32views
Textbook QuestionSolve each problem using a system of equations in two variables. See Example 6. The longest side of a right triangle is 13 m in length. One of the other sides is 7 m longer than the shortest side. Find the lengths of the two shorter sides of the triangle.29views
Textbook QuestionAnswer each question. Does the straight line 3x - 2y = 9 intersect the circle x^2 + y^2 = 25? (Hint: To find out, solve the system formed by these two equations.)23views
Textbook QuestionAnswer each question. A line passes through the points of intersection of the graphs of y = x^2 and x^2 + y^2 = 90. What is the equation of this line? 39views
Textbook QuestionSolve each problem. Find the radius and height (to the nearest thousandth) of an open-ended cylinder with volume 50 in.^3 and lateral surface area 65 in.^2.29views
Textbook QuestionSolve each problem. The supply and demand equations for a certain commodity are given. supply: p = 2000/(2000 - q) and demand: p = (7000 - 3q)/2q Find the equilibrium demand.39views
Textbook QuestionSolve each problem. The supply and demand equations for a certain commodity are given. supply: p = 2000/(2000 - q) and demand: p = (7000 - 3q)/2q Find the equilibrium price (in dollars).27views
Textbook QuestionSolve each problem. The supply and demand equations for a certain commodity are given. supply: p = √(0.1q + 9) - 2 and demand: p = √(25 - 0.1q) Find the equilibrium demand.39views
Textbook QuestionSolve each problem. The supply and demand equations for a certain commodity are given. supply: p = √(0.1q + 9) - 2 and demand: p = √(25 - 0.1q) Find the equilibrium price (in dollars).43views
Textbook QuestionSolve each problem. Find all values of b such that the straight line 3x - y = b touches the circle x^2 + y^2 = 25 at only one point.16views
Textbook QuestionSolve each problem. Find the equation of the line passing through the points of intersection of the graphs of x^2 + y^2 = 20 and x^2 - y = 0.27views
Textbook QuestionIn Exercises 47–52, solve each system by the method of your choice. 2x^2+xy=6, x^2+2xy=032views