Answer:
(1, - 2 )
Explanation:
x + 3y = - 5 → (1)
5x - 2y = 9 → (2)
multiplying (1) by - 5 and adding to (2) will eliminate x
- 5x - 15y = 25 → (3)
add (2) and (3) term by term to eliminate x
0 - 17y = 34
- 17y = - 34 ( divide both sides by - 17 )
y = - 2
substitute y = - 2 into either of the 2 equations and solve for x
substituting into (1)
x + 3(- 2) = - 5
x - 6 = - 5 ( add 6 to both sides )
x = 1
solution is (1, - 2 )