## Algebra 1

Published by Prentice Hall

# Chapter 6 - Systems of Equations and Inequalities - 6-1 Solving Systems by Graphing - Mixed Review: 57

#### Answer

$y=\frac{1}{3}x-\frac{14}{3}$

#### Work Step by Step

We are trying to isolate $y$ in the equation $1.5x-4.5y=21$ We subtract $1.5x$ from each side of the equation: $-4.5y=-1.5x+21$ We divide by $-4.5$ on each side of the equation: $y=\frac{-1.5}{-4.5}x+\frac{21}{-4.5}$ We simplify the fractions: $y=\frac{1}{3}x-\frac{14}{3}$

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