how to step by step solve using elimination method

Question

8x+11y=-50

-32x+44y=-200

Answer 1

Given equation 8x+11y = -50

Multiple to each side by 4.

32x+44y = -200 -------> (1)

And -32x+44y = -200 --------> (2)

To eliminate the x value, add the equations (1) and(2).

32x+44y = -200

-32x+44y = -200

_______________

88y = -400

Divide to each side by 88.

88y/88 = -400/88

y = -50/11

Substitute the y value in (1).

32x+44*-50/11 = -200

32x-200 = -200

Add 200 to each side.

32x-200+200 = -200+200

32x = 0

Divide to each side by 32.

32x/32 = 0/32

x = 0

Solution of given system is x = 0, y = -50/11.