3x - 4y = - 16

2x - 4y = - 8

what is x and y

x = - 8, y = - 2

Step-by-step explanation:

Solve the following system:

{3 x - 4 y = - 16 | (equation 1)

2 x - 4 y = - 8 | (equation 2)

Subtract 2/3 * (equation 1) from equation 2:

{3 x - 4 y = - 16 | (equation 1)

0 x - (4 y) / 3 = 8/3 | (equation 2)

Multiply equation 2 by 3/4:

{3 x - 4 y = - 16 | (equation 1)

0 x - y = 2 | (equation 2)

Multiply equation 2 by - 1:

{3 x - 4 y = - 16 | (equation 1)

0 x+y = - 2 | (equation 2)

Add 4 * (equation 2) to equation 1:

{3 x+0 y = - 24 | (equation 1)

0 x+y = - 2 | (equation 2)

Divide equation 1 by 3:

{x+0 y = - 8 | (equation 1)

0 x+y = - 2 | (equation 2)

Collect results:

Answer: {x = - 8, y = - 2