Answer:
(6, - 6 )
Explanation:
solving using the elimination method
- 2x + 5y = - 42 → (1)
7x + 2y = 30 → (2)
multiplying (1) by 7 and (2) by 2 and adding will eliminate x
- 14x + 35y = - 294 → (3)
14x + 4y = 60 → (4)
add (3) and (4) term by term to eliminate x
0 + 39y = - 234
39y = - 234 ( divide both sides by 39 )
y = - 6
substitute y = - 6 into either of the 2 equations and solve for x
substituting into (2)
7x + 2(- 6) = 30
7x - 12 = 30 ( add 12 to both sides )
7x = 42 ( divide both sides by 7 )
x = 6
solution is (6, - 6 )