Question

$5x - y = 5$
$-x + 3y = 13$

Explanation:

Step1: Isolate $y$ from first equation

$5x - y = 5 \implies y = 5x - 5$

Step2: Substitute $y$ into second equation

$-x + 3(5x - 5) = 13$

Step3: Simplify to solve for $x$

$-x + 15x - 15 = 13 \implies 14x = 28 \implies x = \frac{28}{14} = 2$

Step4: Substitute $x$ back to find $y$

$y = 5(2) - 5 = 10 - 5 = 5$

Answer:

$x=2$, $y=5$