Question

-3x + 6y = -12
y = 5x - 2

Explanation:

Step1: Substitute y into first equation

Substitute $y = 5x - 2$ into $-3x + 6y = -12$:
$-3x + 6(5x - 2) = -12$

Step2: Expand and simplify the equation

Expand the terms and combine like terms:
$-3x + 30x - 12 = -12$
$27x - 12 = -12$

Step3: Solve for x

Isolate x by adding 12 to both sides, then divide:
$27x = -12 + 12$
$27x = 0$
$x = \frac{0}{27} = 0$

Step4: Substitute x to find y

Plug $x=0$ into $y = 5x - 2$:
$y = 5(0) - 2 = -2$

Answer:

$x=0$, $y=-2$