Question

Solve each equation. Check your solution. $$-16=6 a-4$$

   Solve each equation. Check your solution.
$$-16=6 a-4$$

Prealgebra

Carol E. Malloy,… 1st Edition

Chapter 3, Problem 2

Instant Answer

Solved by Expert Amanda Stone

05/20/2020

Step 1

This gives us: $$-16+4=6a-4+4$$ Simplifying, we get: $$-12=6a$$ Show more…

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Solve each equation. Check your solution. $$-16=6 a-4$$

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Key Concepts

Linear Equations

A linear equation is an equation that makes a straight line when it is graphed. It has variables raised only to the first power and typically takes the form ax + b = c. Solving linear equations involves performing algebraic operations to isolate the variable on one side of the equation.

Inverse Operations

Inverse operations are used to isolate variables in equations by reversing the operations applied to them. This includes using subtraction to counteract addition, division to counteract multiplication, and vice versa. In the context of solving linear equations, inverse operations enable you to systematically simplify the equation and solve for the unknown.

Solution Verification

Solution verification is the process of substituting the found value back into the original equation to ensure that it satisfies the equation. It is an important step in problem solving as it helps confirm that no mistakes were made during the manipulation of the equation.

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