Question

Given that rac{4x-y}{3y} = \frac{1}{2}" alt="\frac{4x-y}{3y} = \frac{1}{2}" align="absmiddle" class="latex-formula"> , find the value of $\frac{x}{y}$

Answer 1

Answer:

$\frac{x}{y}$ = $\frac{5}{8}$

Step-by-step explanation:

Given

$\frac{4x-y}{3y}$ = $\frac{1}{2}$ ( cross- multiply )

2(4x - y) = 3y ← distribute left side

8x - 2y = 3y ( add 2y to both sides )

8x = 5y ( divide both sides by 8 )

x = $\frac{5}{8}$ y ( divide both sides by y )

$\frac{x}{y}$ = $\frac{5}{8}$