Answer:
(x, y) = (- 3, - 2)
Explanation:
given the 2 equations
5x + 7y = - 29 → (1)
y = x + 1 → (2)
substitute y = x + 1 into (1)
5x + 7(x + 1) = - 29 ( distribute and simplify left side )
5x + 7x + 7 = - 29
12x + 7 = - 29 ( subtract 7 from both sides )
12x = - 36 ( divide both sides by 12 )
x = - 3
substitute x = - 3 into (2)
y = - 3 + 1 = - 2
solution is (- 3, - 2 )