Question

e. \\( y + 2x = 2 \\)\\( y = -4x + 10 \\)

Explanation:

Step1: Substitute y into first equation

Substitute $y=-4x+10$ into $y+2x=2$:
$$(-4x+10)+2x=2$$

Step2: Simplify and solve for x

Combine like terms and isolate x:
$$-2x+10=2$$
$$-2x=2-10$$
$$-2x=-8$$
$$x=\frac{-8}{-2}=4$$

Step3: Substitute x to find y

Plug $x=4$ into $y=-4x+10$:
$$y=-4(4)+10=-16+10=-6$$

Answer:

$x=4$, $y=-6$