Solve this system of linear equations. Separate

the x - and y-values with a comma.

13x = - 21 - 2y

- 15x = 23 + 2y

x = - 1, y = - 4

Step-by-step explanation:

Solve the following system:

{13 x = - 2 y - 21 | (equation 1)

-15 x = 2 y + 23 | (equation 2)

Express the system in standard form:

{13 x + 2 y = - 21 | (equation 1)

- (15 x) - 2 y = 23 | (equation 2)

Swap equation 1 with equation 2:

{ - (15 x) - 2 y = 23 | (equation 1)

13 x + 2 y = - 21 | (equation 2)

Add 13/15 * (equation 1) to equation 2:

{ - (15 x) - 2 y = 23 | (equation 1)

0 x + (4 y) / 15 = - 16/15 | (equation 2)

Multiply equation 2 by 15/4:

{ - (15 x) - 2 y = 23 | (equation 1)

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

Add 2 * (equation 2) to equation 1:

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

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

Divide equation 1 by - 15:

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

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

Collect results:

Answer: {x = - 1, y = - 4