Answer:
[tex]\frac{x}{y}[/tex] = [tex]\frac{5}{8}[/tex]
Step-by-step explanation:
Given
[tex]\frac{4x-y}{3y}[/tex] = [tex]\frac{1}{2}[/tex] ( 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 = [tex]\frac{5}{8}[/tex] y ( divide both sides by y )
[tex]\frac{x}{y}[/tex] = [tex]\frac{5}{8}[/tex]