# What is the value of (3x+8y)/(x-2y) if x/(2y)=2?

The answer is: $10$.
Since $\frac{x}{2 y} = 2$ than $x = 4 y$,
$\frac{3 \cdot \left(4 y\right) + 8 y}{4 y - 2 y} = \frac{12 y + 8 y}{2 y} = \frac{20 y}{2 y} = 10$.