Big Ideas Math - Algebra 1, A Common Core Curriculum

Published by Big Ideas Learning LLC
ISBN 10: 978-1-60840-838-2
ISBN 13: 978-1-60840-838-2

Chapter 5 - Solving Systems of Linear Equations - 5.1 - Solving Systems of Linear Equations by Graphing - Exercises - Page 240: 36

Answer

$y=-3x+20$

Work Step by Step

The given equation is $\Rightarrow \frac{3}{4}x+\frac{1}{4}y=5$ Multiply each side by $4$. $\Rightarrow 4(\frac{3}{4}x+\frac{1}{4}y)=4(5)$ Use distributive property. $\Rightarrow 3x+y=20$ Subtract $3x$ from each side. $\Rightarrow 3x+y-3x=20-3x$ Simplify. $\Rightarrow y=-3x+20$ Hence, the rewritten literal equation is $y=-3x+20$.
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