Y=-5x - 26

5y = 3x - 18

x = - 4, y = - 6

Step-by-step explanation:

Solve the following system:

{y = - 5 x - 26 | (equation 1)

5 y = 3 x - 18 | (equation 2)

Express the system in standard form:

{5 x + y = - 26 | (equation 1)

- (3 x) + 5 y = - 18 | (equation 2)

Add 3/5 * (equation 1) to equation 2:

{5 x + y = - 26 | (equation 1)

0 x + (28 y) / 5 = (-168) / 5 | (equation 2)

Multiply equation 2 by 5/28:

{5 x + y = - 26 | (equation 1)

0 x+y = - 6 | (equation 2)

Subtract equation 2 from equation 1:

{5 x+0 y = - 20 | (equation 1)

0 x+y = - 6 | (equation 2)

Divide equation 1 by 5:

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

0 x+y = - 6 | (equation 2)

Collect results:

Answer: {x = - 4, y = - 6