Answer:
(3, - 2 )
Step-by-step explanation:
Given the 2 equations
y = - 2x + 4 → (1)
- x + 3y = - 9 → (2)
Substitute y = - 2x + 4 into (2)
- x + 3(- 2x + 4) = - 9 ← distribute and simplify left side
- x - 6x + 12 = - 9
- 7x + 12 = - 9 ( subtract 12 from both sides )
- 7x = - 21 ( divide both sides by - 7 )
x = 3
Substitute x = 3 into (1) for corresponding value of y
y = - 2(3) + 4 = - 6 + 4 = - 2
Solution is (3, - 2 )
