Given that the equation $\dfrac{4x-y}{x+y}=\dfrac{5}{2}$ is true, what is the value of $\dfrac{x}{y}$ ?

$\dfrac{2}{3}$

$\dfrac{5}{2}$

$\dfrac{7}{3}$

$\dfrac{7}{5}$

$\dfrac{7}{18}$

Approach

$$ \frac{4x-y}{x+y}=\frac{5}{2} $$

Cross multiply

$$ 8x-2y=5x+5y $$ $$ 3x=7y $$ $$ \frac{x}{y} = \boxed{\frac{7}{3}} $$