(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 )
