Question

Can someone PLEASE walk me through this??

Solve by the linear combination method (with or without multiplication).

8x + 2y = 4
–4x + 3y = –10


A.
(1, 3)

B.
(2, 3)

C.
(1, 2)

D.
(1, –2)

Answer 1

Here, Multiply second equation by 2, 
-8x + 6y = -20

Now,Add both the equations in order to eliminate x from the expression,
8y= -16
y = -16/8
y = -2

Substitute the value in 1st equation, 
8x + 2(-2) = 4
8x = 4 + 4
x = 8 / 8
x = 1

In short, Your Answer would be Option D) (1, -2)

Hope this helps!