Question

evaluate each expression for x = 2 and y = -3. x - y = 2-3 x + 2y = (\frac{x - y}{x + 2y}=)

Explanation:

Step1: Substitute values for $x - y$

Substitute $x = 2$ and $y=-3$ into $x - y$. So $x - y=2-(-3)=2 + 3=5$.

Step2: Substitute values for $x + 2y$

Substitute $x = 2$ and $y = - 3$ into $x+2y$. Then $x + 2y=2+2\times(-3)=2-6=-4$.

Step3: Substitute values for $\frac{x - y}{x + 2y}$

We know $x - y = 5$ and $x + 2y=-4$ from previous steps. So $\frac{x - y}{x + 2y}=\frac{5}{-4}=-\frac{5}{4}$.

Answer:

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