Question

Is $-2$ a solution of $3 a-4=10 ?$

Name: Problem 10, Chapter 5: Prealgebra and Introductory Algebra
Uploaded: 2020-06-20T16:04:06-08:00
Duration: 51 s
Channel: Ethan Somes
Description: Is -2 a solution of 3 a-4=10 ?

   Is $-2$ a solution of $3 a-4=10 ?$

Prealgebra and Introductory Algebra

Richard N. Aufmann,… 3rd Edition

Chapter 5, Problem 10

Instant Answer

Solved by Expert Ethan Somes

06/20/2020

Step 1

Step 1: We are given the equation $3a - 4 = 10$ and we are asked to check if $a = -2$ is a solution to this equation. Show more…

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Is $-2$ a solution of $3 a-4=10 ?$

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Key Concepts

Linear Equations

Linear equations are algebraic equations in which each term is either a constant or the product of a constant and a single variable raised to the power of one. These equations can be solved by isolating the variable on one side of the equation using inverse operations, which is fundamental in algebra.

Substitution

Substitution is a process used to determine if a given value satisfies an equation by replacing the variable with the specified value. In the context of solving equations, this method helps verify whether or not the candidate is a true solution.

Solution Verification

Solution verification involves checking an obtained solution by substituting it back into the original equation. If the original equation holds true after the substitution, the value is confirmed as a valid solution. This step is essential to ensure accuracy in algebraic problem solving.

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