X-3y=-1 x-2y=-5 in elimination

{ x = - 13, y = - 4

Step-by-step explanation using elimination:

Solve the following system:

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

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

Subtract equation 1 from equation 2:

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

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

Add 3 * (equation 2) to equation 1:

{x+0 y = - 13 | (equation 1)

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

Collect results:

Answer: {x = - 13, y = - 4