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Elementary Algebra

Lynn Marecek, MaryAnne Anthony-Smith

$Math Studyset Vaia Explanations$ Math

2nd Edition · 1240 pages

ISBN: 9780998625713

Chapter 2: Q. 2.130 (page 272)

Solve the formula $5 x + 8 y = 1$ for y.

Short Answer

Expert verified

$Thesimplifiedequationis = \frac{1 - 5 x}{8}$

Step by step solution

01

Step 1. Given information

The given equation is $5 x + 8 y = 1$

We have to solve the given equation for y.

02

Sep 2. Explanation.

$\begin{array}{l} \Rightarrow 5 x + 8 y = 1 \\ \Rightarrow 5 x - 5 x + 8 y = 1 - 5 x (Subtract5xfrombothsidestoisolateyterm) \\ \Rightarrow 8 y = 1 - 5 x (Simplify) \\ \Rightarrow \frac{8 y}{8} = \frac{1 - 5 x}{8} (Dividebothsideby8) \\ \Rightarrow y = \frac{1 - 5 x}{8} (Simplify) \\ Thesimplifiedequationis = \frac{1 - 5 x}{8} \end{array}$

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Most popular questions from this chapter

In the following exercise, solve each equation using the Subtraction and Addition Properties of Equality.
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