Question

2.
y = -4x + 2
-8x - 4y = -8

x = _, y = _ solution: ____________________

Explanation:

Step1: Substitute $y=-4x+2$ into the second equation

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

Step2: Expand and simplify the equation

Distribute the $-4$ and combine like terms:
$$-8x + 16x - 8 = -8$$
$$8x - 8 = -8$$

Step3: Solve for $x$

Isolate the term with $x$, then solve:
$$8x = -8 + 8$$
$$8x = 0$$
$$x = 0$$

Step4: Substitute $x=0$ to find $y$

Plug $x=0$ into $y = -4x + 2$:
$$y = -4(0) + 2$$
$$y = 2$$

Answer:

$x = 0$, $y = 2$