Question

solve using elimination.
$2x + y = -2$
$x + 2y = -16$
$(square, square)$

Explanation:

Step1: Eliminate x by multiplying the second equation by 2

Multiply the equation \(x + 2y = -16\) by 2 to get \(2x + 4y = -32\).

Step2: Subtract the first equation from the new equation

Subtract \(2x + y = -2\) from \(2x + 4y = -32\):

$$
LATEXBLOCK0
$$

Step3: Solve for y

Divide both sides by 3: \(y = \frac{-30}{3} = -10\).

Step4: Substitute y into the first equation to solve for x

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

$$
LATEXBLOCK1
$$

Answer:

(4, -10)