4x-3y=8 5*-2y=-11 solve the linear system using elimination

Solve the following system using elimination:

{4 x - 3 y = 8 | (equation 1) {-10 y = - 11 | (equation 2)

Multiply equation 2 by - 1:

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

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

Divide equation 2 by 10:

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

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

Add 3 * (equation 2) to equation 1:

{4 x+0 y = 113/10 | (equation 1)

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

Divide equation 1 by 4:

{x+0 y = 113/40 | (equation 1)

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

Collect results:

Answer: {x = 113/40

{y = 11/10