Question

system by substitution.
$2x - y = 39$
$-6y = x$

Explanation:

Step1: Substitute $x=-6y$ into first equation

$2(-6y) - y = 39$

Step2: Simplify to solve for $y$

$-12y - y = 39 \implies -13y = 39 \implies y = \frac{39}{-13} = -3$

Step3: Substitute $y=-3$ into $x=-6y$

$x = -6(-3) = 18$

Answer:

$x=18$, $y=-3$