Answer:
(6, - 4)
Step-by-step explanation:
Given the 2 equations
- 3x - 9y = 18 → (1)
4x + 3y = 12 → (2)
Multiplying (2) by 3 and adding the result to (1) eliminates the term in y
12x + 9y = 36 → (3)
Add (1) and (3) term by term
(- 3x + 12x) + (- 9y + 9y) = (18 + 36)
9x = 54 ( divide both sides by 9 )
x = 6
Substitute x = 6 into (1) or (2) and solve for y
(2) : 24 + 3y = 12 ( subtract 24 from both sides )
3y = - 12 ( divide both sides by 3 )
y = - 4
Solution is (6, - 4)
