What is

-3x+3y=6

3x+5y=-46

x = - 7, y = - 5

Step-by-step explanation:

Solve the following system:

{3 y - 3 x = 6 | (equation 1)

3 x + 5 y = - 46 | (equation 2)

Add equation 1 to equation 2:

{ - (3 x) + 3 y = 6 | (equation 1)

0 x+8 y = - 40 | (equation 2)

Divide equation 1 by 3:

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

0 x+8 y = - 40 | (equation 2)

Divide equation 2 by 8:

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

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

Subtract equation 2 from equation 1:

{-x+0 y = 7 | (equation 1)

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

Multiply equation 1 by - 1:

{x+0 y = - 7 | (equation 1)

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

Collect results:

Answer: {x = - 7, y = - 5