Solve for a: 44 = 14 - 2a.

Question:

Solve for {eq}a {/eq}: {eq}\; 44 = 14 - 2a {/eq}.

Transposing Terms

When transposing a term it would change sign when going from one side of the equation to another. A term is separated from other terms by the mathematical operation of addition or subtraction.

Answer and Explanation:

To solve of {eq}a {/eq} from the expression below, one must isolate the variable on one side of the equation:

{eq}44 = 14 - 2a {/eq}

{eq}44 -14 = - 2a {/eq}

{eq}30 = - 2a {/eq}

To remove the coefficient of {eq}a {/eq} we divide both sides with {eq}-2 {/eq}:

{eq}\displaystyle \frac{30}{-2} = \frac{- 2a}{-2} {/eq}

{eq}-15 = a \ or \ a = -15 {/eq}

In the equation {eq}44 = 14 - 2a {/eq} the value of {eq}a {/eq} is {eq}-15 {/eq}.


Learn more about this topic:

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Evaluating Simple Algebraic Expressions

from ELM: CSU Math Study Guide

Chapter 6 / Lesson 3
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