# Question #7a1c5

Oct 29, 2016

The value of the expression is $10$.

#### Explanation:

If $\frac{3 x}{5 y} = 11$, find $\frac{3 x - 5 y}{5 y}$.

Divide each term in the numerator by the denominator.

$\frac{3 x - 5 y}{5 y}$

$\frac{3 x}{5 y} - \frac{5 y}{5 y}$

Substitute $11$ for $\frac{3 x}{5 y}$ because $\frac{3 x}{5 y} = 11$

$11 - \frac{5 y}{5 y}$

Substitute 1 for $\frac{5 y}{5 y}$

$11 - 1 = 10$