Solve the equation. 3y+20=3+2y

Question:

Solve the equation .

{eq}3y + 20 = 3 + 2y {/eq}

Simple Algebraic Expression:

A simple algebraic expression is made up of integers, variables using addition, subtraction, multiplication or division. To make it really simple, the variables would only have 1 as an exponent.

Answer and Explanation:

For the equation {eq}3y +20 = 3 + 2y {/eq}, we will transpose like terms while taking note of the changes in sign:

$$\begin{align} 3y -2y &= 3 - 20 \\[0.3cm] y &= -17 \end{align} $$

To check, we will substitute the value to the equation:

$$\begin{align} 3y +20 &\stackrel{?}{=} 3 + 2y \\[0.3cm] 3(-17) +20 &\stackrel{?}{=} 3 + 2(-17) \\[0.3cm] -51 +20 &\stackrel{?}{=} 3 - 34 \\[0.3cm] -31 &\stackrel{\checkmark}{=} -31 \end{align} \\ $$

We have verified that the computed value satisfies the given equation. Thus, the value of {eq}y {/eq} is {eq}-17 {/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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