Question

perform the subtraction.
$\frac{x + y}{5x - y}-\frac{3x}{y - 5x}$
$\frac{x + y}{5x - y}-\frac{3x}{y - 5x}=square$

Explanation:

Step1: Rewrite the second - fraction

We know that $y - 5x=-(5x - y)$. So, $\frac{3x}{y - 5x}=-\frac{3x}{5x - y}$.

Step2: Combine the fractions

$\frac{x + y}{5x - y}-\frac{3x}{y - 5x}=\frac{x + y}{5x - y}+\frac{3x}{5x - y}$.
Since the denominators are the same, we add the numerators: $\frac{x + y+3x}{5x - y}=\frac{4x + y}{5x - y}$.

Answer:

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