Question

$x = -2y + 8$
$4x - 2y = 12$

Explanation:

Step1: Substitute x into second equation

Substitute $x = -2y + 8$ into $4x - 2y = 12$:
$$4(-2y + 8) - 2y = 12$$

Step2: Expand and simplify left side

Distribute 4 and combine like terms:
$$-8y + 32 - 2y = 12$$
$$-10y + 32 = 12$$

Step3: Solve for y

Isolate y by subtracting 32 then dividing by -10:
$$-10y = 12 - 32$$
$$-10y = -20$$
$$y = \frac{-20}{-10} = 2$$

Step4: Solve for x using y=2

Substitute y=2 into $x = -2y + 8$:
$$x = -2(2) + 8 = -4 + 8 = 4$$

Answer:

$x=4$, $y=2$