Problem 1

3x + y = - 14

-2x-y=9

x = - 5, y = 1

Step-by-step explanation:

Solve the following system:

{3 x + y = - 14 | (equation 1)

-2 x - y = 9 | (equation 2)

Add 2/3 * (equation 1) to equation 2:

{3 x + y = - 14 | (equation 1)

0 x - y/3 = (-1) / 3 | (equation 2)

Multiply equation 2 by - 3:

{3 x + y = - 14 | (equation 1)

0 x+y = 1 | (equation 2)

Subtract equation 2 from equation 1:

{3 x+0 y = - 15 | (equation 1)

0 x+y = 1 | (equation 2)

Divide equation 1 by 3:

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

0 x+y = 1 | (equation 2)

Collect results:

Answer: {x = - 5, y = 1