Solve the following system of equations. Give the answer as an ordered pair.

4x - y = - 5

3x + 2y = - 12

(x, y) = ( - 2, - 3)

given the 2 equations

4x - y = - 5 → (1)

3x + 2y = - 12 → (2)

eliminate the term in y by multiplying (1) by 2 and then adding

8x - 2y = - 10 → (3)

add (2) and (3) term by term to eliminate y

(3x + 8x) + (2y - 2y) = ( - 12 - 10)

11x = - 22 (divide both sides by 11)

x = - 2

substitute x = - 2 in either (1) or (2) and solve for y

(2) : - 6 + 2y = - 12 (add 6 to both sides)

2y = - 6 (divide both sides by 2)

y = - 3

solution is ( - 2, - 3)