Solve for x and y - 6x-y=-19 and 6x-4y=14

Solve the following system:

{-6 x - y = - 19 | (equation 1)

{6 x - 4 y = 14 | (equation 2)

Add equation 1 to equation 2:

{ - (6 x) - y = - 19 | (equation 1)

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

Multiply equation 1 by - 1:

{6 x + y = 19 | (equation 1)

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

Divide equation 2 by - 5:

{6 x + y = 19 | (equation 1)

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

Subtract equation 2 from equation 1:

{6 x+0 y = 18 | (equation 1)

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

Divide equation 1 by 6:

{x+0 y = 3 | (equation 1)

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

Collect results:

Answer: {x = 3

{y = 1