Solve the following system of equations.

2x-3y=8

-2x+6y=-20

Solve the following system:

{2 x - 3 y = 8 | (equation 1)

{6 y - 2 x = - 20 | (equation 2)

Add equation 1 to equation 2:

{2 x - 3 y = 8 | (equation 1)

{0 x+3 y = - 12 | (equation 2)

Divide equation 2 by 3:

{2 x - 3 y = 8 | (equation 1)

{0 x+y = - 4 | (equation 2)

Add 3 * (equation 2) to equation 1:

{2 x+0 y = - 4 | (equation 1)

{0 x+y = - 4 | (equation 2)

Divide equation 1 by 2:

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

{0 x+y = - 4 | (equation 2)

Collect results:

Answer: {x = - 2

{y = - 4