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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. 2.129 (page 272)

Solve the formula $4 x + 7 y = 9$ for y.

Short Answer

Expert verified

$Thesimplifiedequationis y = \frac{9 - 4 x}{7}$

Step by step solution

01

Step 1. Given information.

The given equation is $4 x + 7 y = 9$

We have to solve the given equaitonn for y.

02

Step 2. Explanation

$\begin{array}{l} \Rightarrow 4 x + 7 y = 9 \\ \Rightarrow 4 x - 4 x + 7 y = 9 - 4 x (Subtract4xfrombothsidestoisolateyterm) \\ \Rightarrow 7 y = 9 - 4 x (Simplify) \\ \Rightarrow \frac{7 y}{7} = \frac{9 - 4 x}{7} (Dividebothsideby7) \\ \Rightarrow y = \frac{9 - 4 x}{7} (Simplify) \\ Thesimplifiedequationis y = \frac{9 - 4 x}{7} \end{array}$

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Most popular questions from this chapter

Translate and solve: The sum of three-fourths and $x$ is five-sixths.

In the following exercise, solve each equation using the Subtraction and Addition Properties of Equality.
$p + \frac{1}{3} = \frac{5}{6}$

In the following exercise, solve each equation using the Subtraction and Addition Properties of Equality.
$m + 7.9 = 11.6$

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

$x + 24 = 35$

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