Answer:
(- 4, - 3)
Step-by-step explanation:
given the 2 equations
- 5x + 3y = 11 → (1)
x - 2y = 2 → (2)
rearrange (2) expressing x in terms of y by adding 2y to both sides, hence
x = 2 + 2y → (3)
substitute x = 2 + 2y in (1)
- 5(2 + 2y) + 3y = 11
- 10 - 10y + 3y = 11
- 10 - 7y = 11 ( add 10 to both sides )
- 7y = 21 ( divide both sides by - 7 )
y = - 3
substitute y = - 3 in (3) and evaluate for x
x = 2 - 6 = - 4
solution is (- 4, - 3 )
