Question

-7x - 6y = 4
x = -3y + 8
x =
y =

Explanation:

Step1: Substitute $x$ into first equation

Substitute $x=-3y+8$ into $-7x-6y=4$:
$$-7(-3y+8)-6y=4$$

Step2: Simplify and solve for $y$

Expand and combine like terms:
$$21y-56-6y=4$$
$$15y-56=4$$
$$15y=60$$
$$y=\frac{60}{15}=4$$

Step3: Substitute $y$ to find $x$

Plug $y=4$ into $x=-3y+8$:
$$x=-3(4)+8=-12+8$$

Answer:

$x=-4$
$y=4$