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:

{x = 2 , y = -2

the answer is (4,3)

since the rule for r0, 90º is (-y,x) and it was already applied to form the image, all you have to do is reverse the answer using this formula.