Answer:
(- 2, 9 )
Explanation:
x + y = 7 → (1)
5x + 2y = 8 → (2)
multiplying (1) by - 2 and adding to (2) will eliminate y
- 2x - 2y = - 14 → (3)
add (2) and (3) term by term to eliminate y
3x + 0 = - 6
3x = - 6 ( divide both sides by 3 )
x = - 2
substitute x = - 2 into either of the 2 equations and solve for y
substituting into (1)
- 2 + y = 7 ( add 2 to both sides )
y = 9
solution is (- 2, 9 )