Question

Is $-2$ a solution of $3 a+2=2-a ?$

   Is $-2$ a solution of $3 a+2=2-a ?$

Prealgebra and Introductory Algebra

Prealgebra and Introductory Algebra

Richard N. Aufmann,… 3rd Edition

Chapter 5, Problem 15

Instant Answer

Solved by Expert Ethan Somes

06/20/2020

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Step 1: We are given the equation $3a+2=2-a$ and we want to check if $a=-2$ is a solution. Show more…

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Is $-2$ a solution of $3 a+2=2-a ?$

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Key Concepts

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 raised to the first power. It typically takes the form ax + b = c, and solving it involves isolating the variable on one side of the equation.

Substitution Method

The substitution method involves replacing the variable with a proposed value in the equation to determine whether the equation holds true. This is particularly useful for verifying if a specific value is a solution to the equation.

Solution Verification

Solution verification is the process of confirming that a candidate solution satisfies the equation. By substituting the value into the equation, one checks that both sides of the equation are equal, thereby validating or invalidating the candidate as a correct solution.

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