X-2y = - 10

x-3y = - 13

x = - 4, y = 3

Step-by-step explanation:

Solve the following system:

{x - 2 y = - 10 | (equation 1)

x - 3 y = - 13 | (equation 2)

Subtract equation 1 from equation 2:

{x - 2 y = - 10 | (equation 1)

0 x - y = - 3 | (equation 2)

Multiply equation 2 by - 1:

{x - 2 y = - 10 | (equation 1)

0 x+y = 3 | (equation 2)

Add 2 * (equation 2) to equation 1:

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

0 x+y = 3 | (equation 2)

Collect results:

Answer: {x = - 4, y = 3