Question

f. x+2y=-4
-4x-3y=16

Explanation:

Step1: Eliminate x variable

Multiply first equation by 4:
$$4(x+2y)=4(-4) \implies 4x+8y=-16$$
Add to second equation:
$$(4x+8y)+(-4x-3y)=-16+16$$

Step2: Solve for y

Simplify the equation:
$$5y=0 \implies y=0$$

Step3: Substitute y to find x

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

Answer:

$x=-4$, $y=0$