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Ch. 1 - Equations and Inequalities
All textbooksLial 13th EditionCh. 1 - Equations and InequalitiesProblem 11
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Chapter 2, Problem 11

Solve each equation. 5x+4= 3x-4

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Key Concepts

Here are the essential concepts you must grasp in order to answer the question correctly.

Linear Equations

A linear equation is an algebraic equation in which each term is either a constant or the product of a constant and a single variable. The general form is ax + b = c, where a, b, and c are constants. Solving linear equations involves isolating the variable to find its value, which represents a straight line when graphed.
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Transposition

Transposition is a method used to rearrange an equation by moving terms from one side to the other. This involves adding or subtracting the same value from both sides to maintain equality. For example, in the equation 5x + 4 = 3x - 4, you can transpose terms to isolate x on one side.

Combining Like Terms

Combining like terms is the process of simplifying an expression by adding or subtracting terms that have the same variable raised to the same power. In the equation 5x + 4 = 3x - 4, you can combine the x terms (5x and 3x) to simplify the equation, making it easier to solve for the variable.
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Related Practice
Textbook Question
Use Choices A–D to answer each question. A. 3x^2 - 17x - 6 = 0 B. (2x + 5)^2 = 7 C. x^2 + x = 12 D. (3x - 1)(x - 7) = 0 Which equation is set up for direct use of the zero-factor property? Solve it
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Textbook Question
Use Choices A–D to answer each question. A. 3x^2 - 17x - 6 = 0 B. (2x + 5)^2 = 7 C. x^2 + x = 12 D. (3x - 1)(x - 7) = 0 Which equation is set up for direct use of the square root property? Solve it
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Textbook Question
Answer each question. Answer each question. Unknown NumbersUse the following facts.If x represents an integer, then x+1 represents the next consecutive integer.If x represents an even integer, then x+2 represents the next consecutive even integer.If x represents an odd integer, then x+2 represents the next consecutive odd integer. Find two consecutive integers whose product is 110.
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Textbook Question
Use Choices A–D to answer each question. A. 3x^2 - 17x - 6 = 0 B. (2x + 5)^2 = 7 C. x^2 + x = 12 D. (3x - 1)(x - 7) = 0 Only one of the equations does not require Step 1 of the method for completing the square described in this section. Which one is it? Solve it.
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Textbook Question
Answer each question. Answer each question. Answer each question. Unknown NumbersUse the following facts.If x represents an integer, then x+1 represents the next consecutive integer.If x represents an even integer, then x+2 represents the next consecutive even integer.If x represents an odd integer, then x+2 represents the next consecutive odd integer. Find two consecutive even integers whose product is 168.
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Textbook Question
Identify each number as real, complex, pure imaginary, or nonreal com-plex. (More than one of these descriptions will apply.) 0
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