0. Review of College Algebra

Solving Linear Equations

0. Review of College Algebra

Solving Linear Equations

Struggling with Trigonometry?

Join thousands of students who trust us to help them ace their exams!

Multiple Choice

Solve the equation. Then state whether it is an identity, conditional, or inconsistent equation.
$5x+17=8x+12-3$\left$(x+4$\right$)$

Identity

Conditional

Inconsistent

Verified step by step guidance

Start by simplifying the equation. Distribute the -3 across the terms inside the parentheses: -3(x + 4) becomes -3x - 12.

Rewrite the equation with the distributed terms: 5x + 17 = 8x + 12 - 3x - 12.

Combine like terms on the right side of the equation: 8x - 3x becomes 5x, and 12 - 12 becomes 0. So, the equation simplifies to 5x + 17 = 5x.

Subtract 5x from both sides of the equation to isolate the constant terms: 5x + 17 - 5x = 5x - 5x, which simplifies to 17 = 0.

Since 17 = 0 is a false statement, the equation is inconsistent, meaning there are no values of x that satisfy the equation.

7:48m

Watch next

Master Solving Linear Equations with a bite sized video explanation from Patrick

Related Videos

Related Practice

Textbook Question

Simplify each expression. See Example 8.0.25(8 + 4p) - 0.5(6 + 2p)

509

views

Multiple Choice

Given the equations of two lines $y = 2 x + 1$ and $y = - x + 4$ , determine whether the lines intersect. If they do, find the point of intersection.

views

Multiple Choice

Solve the Equation.

$3$\left$(2-5x$\right$)=4x+25$

Solve the equation.

$$\frac$92+$\frac$14$\left$(x+2$\right$)=$\frac$34x$

Solve the equation. Then state whether it is an identity, conditional, or inconsistent equation.

$\frac{x}{4}\)+$\frac$16=\(\frac{x}{3}$

Solve the equation. Then state whether it is an identity, conditional, or inconsistent equation.

$-2$\left$(5-3x$\right$)+x=7x-10$

CONCEPT PREVIEW Fill in the blank to correctly complete each sentence.The polynomial 2x⁵ - x + 4 is a trinomial of degree _________.

478

views

Textbook Question

CONCEPT PREVIEW Work each problem.Match each polynomial in Column I with its factored form in Column II. I IIa. x² + 10xy + 25y² A. (x + 5y) (x - 5y)b. x² - 10xy + 25y² B. (x + 5y)²c. x² - 25y² C. (x - 5y)²d. 25y² - x² D. (5y + x) (5y - x)

456

views

Show more practices

Solving Linear Equations practice set

Problem sets built by lead tutors

Expert video explanations

Struggling with Trigonometry?

Solve the equation. Then state whether it is an identity, conditional, or inconsistent equation. 5x+17=8x+12−3(x+4)5x+17=8x+12-3\(\left\)(x+4\(\right\))5x+17=8x+12−3(x+4)

Watch next

Solving Linear Equations practice set

Solve the equation. Then state whether it is an identity, conditional, or inconsistent equation.
$5x+17=8x+12-3\(\left\)(x+4\(\right\))$