What is the solution of the system?

Use either the substitution method or the elimination method.

7x + 2y = - 19

-x + 2y = 21

Solve the following system using elimination:

{7 x + 2 y = - 19 | (equation 1)

{2 y - x = 21 | (equation 2)

Add 1/7 * (equation 1) to equation 2:

{7 x + 2 y = - 19 | (equation 1)

{0 x + (16 y) / 7 = 128/7 | (equation 2)

Multiply equation 2 by 7/16:

{7 x + 2 y = - 19 | (equation 1)

{0 x+y = 8 | (equation 2)

Subtract 2 * (equation 2) from equation 1:

{7 x+0 y = - 35 | (equation 1)

{0 x+y = 8 | (equation 2)

Divide equation 1 by 7:

{x+0 y = - 5 | (equation 1)

{0 x+y = 8 | (equation 2)

Collect results:

Answer: {x = - 5, y = 8