Solve each system using either 1

1. 5x - y = 12

3x + y = 4

x = 2, y = - 2

Step-by-step explanation:

Solve the following system:

{5 x - y = 12 | (equation 1)

3 x + y = 4 | (equation 2)

Subtract 3/5 * (equation 1) from equation 2:

{5 x - y = 12 | (equation 1)

0 x + (8 y) / 5 = (-16) / 5 | (equation 2)

Multiply equation 2 by 5/8:

{5 x - y = 12 | (equation 1)

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

Add equation 2 to equation 1:

{5 x+0 y = 10 | (equation 1)

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

Divide equation 1 by 5:

{x+0 y = 2 | (equation 1)

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

Collect results:

Answer: {x = 2, y = - 2