How to solve

x+7y=0 2x-8y=20

Solve the following system:

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

{2 x - 8 y = 20 | (equation 2)

Swap equation 1 with equation 2:

{2 x - 8 y = 20 | (equation 1)

{x + 7 y = 0 | (equation 2)

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

{2 x - 8 y = 20 | (equation 1)

{0 x+11 y = - 10 | (equation 2)

Divide equation 1 by 2:

{x - 4 y = 10 | (equation 1)

{0 x+11 y = - 10 | (equation 2)

Divide equation 2 by 11:

{x - 4 y = 10 | (equation 1)

{0 x+y = (-10) / 11 | (equation 2)

Add 4 * (equation 2) to equation 1:

{x+0 y = 70/11 | (equation 1)

{0 x+y = - 10/11 | (equation 2)

Collect results:

Answer: {x = 70/11

{y = - 10/11