Question

Which is the correct answer when solving the equation using

Answer 1

Answer:

We conclude that the correct option is 'A'.

As I was able to get (6, -6) because  I was able to eliminate my y terms first.

Step-by-step explanation:

Given the system of equations

$\begin{bmatrix}-4x-2y=-12\\ 4x+8y=-24\end{bmatrix}$

solving using the elimination method

$4x+8y=-24$

$+$

$\underline{-4x-2y=-12}$

$6y=-36$

so

$\begin{bmatrix}-4x-2y=-12\\ 6y=-36\end{bmatrix}$

solve for y

$6y=-36$

Divide both sides by 6

$\frac{6y}{6}=\frac{-36}{6}$

$y=-6$

$\mathrm{For\:}-4x-2y=-12\mathrm{\:plug\:in\:}y=-6$

$-4x-2\left(-6\right)=-12$

$-4x+12=-12$

$-4x=-24$

Divide both sides by -4

$\frac{-4x}{-4}=\frac{-24}{-4}$

$x=6$

Thus, the solutions are:

$x=6,\:y=-6$

Therefore, we conclude that the correct option is 'A'.

As I was able to get (6, -6) because  I was able to eliminate my y terms first.