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Algebra 1

Carter, Cuevas, Day, Holiday, Luchin

$Math Studyset Vaia Explanations$ Math

Student Edition · 801 pages

ISBN: 9780078884801

Chapter 2: Q21. (page 145)

Solve $5 x - 3 y = 9$ for $y$ .

Short Answer

Expert verified

The solution of the equation for $y$ is $\frac{5 x - 9}{3}$ .

Step by step solution

01

Step 1. Given information.

We have an equation $5 x - 3 y = 9$ .

To find the solution of the given equation for $y$ .

02

Step 2. Calculation.

Solving the above equation:

$\begin{array}{l} 5 x - 3 y = 9 \\ \Rightarrow - 3 y = 9 - 5 x \\ \Rightarrow 3 y = 5 x - 9 \\ \Rightarrow y = \frac{5 x - 9}{3} \end{array}$

03

Step 3. Conclusion.

From Above calculation

$y = \frac{5 x - 9}{3}$

Hence, the solution of the equation for $y$ is $\frac{5 x - 9}{3}$ .

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