solve this system of linear equations. separate the x - and y-values with a comma. - 12x = - 75 - 11y - 5x = - 89 - 11y

x = - 2, y = - 9

Step-by-step explanation:

Solve the following system:

{-12 x = - 11 y - 75 | (equation 1)

{-5 x = - 11 y - 89 | (equation 2)

Express the system in standard form:

{ - (12 x) + 11 y = - 75 | (equation 1)

{ - (5 x) + 11 y = - 89 | (equation 2)

Subtract 5/12 * (equation 1) from equation 2:

{ - (12 x) + 11 y = - 75 | (equation 1)

{0 x + (77 y) / 12 = (-231) / 4 | (equation 2)

Multiply equation 2 by 12/77:

{ - (12 x) + 11 y = - 75 | (equation 1)

{0 x+y = - 9 | (equation 2)

Subtract 11 * (equation 2) from equation 1:

{ - (12 x) + 0 y = 24 | (equation 1)

{0 x+y = - 9 | (equation 2)

Divide equation 1 by - 12:

{x+0 y = - 2 | (equation 1)

{0 x+y = - 9 | (equation 2)

Collect results:

Answer: {x = - 2, y = - 9