# Chapter 6 - Systems of Equations and Inequalities - 6-1 Solving Systems by Graphing - Mixed Review: 56

$y=\frac{8}{15}x$

#### Work Step by Step

We are trying to isolate $y$ in the equation $\frac{3}{2}y=\frac{4}{5}x$ We multiply by $\frac{2}{3}$, the reciprocal of $\frac{3}{2}$, on both sides of the equation: $\frac{2}{3}\times\frac{3}{2}y=\frac{2}{3}\times\frac{4}{5}x$ To multiply fractions, we multiply both the numerator and the denominator: $y=\frac{8}{15}x$

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