Answer:
y = 2
Step-by-step explanation:
given the 2 equations
5x - 3y = - 11 → (1)
2x - 6y = - 14 → (2)
multiply (1) by - 2, to eliminate the term in y
- 10x + 6y = 22 → (3)
add (2) and (3) term by term
(2x - 10x) + (- 6y + 6y) = (- 14 + 22)
- 8x = 8 ( divide both sides by - 8 )
x = - 1
substitute x = - 1 into either (1) or (2) and solve for y
(1) : - 5 - 3y = - 11 ( add 5 to both sides )
- 3y = - 6 ( divide both sides by - 3 )
y = 2
solution is (- 1, 2 )