Answer:
(6, - 2 )
Step-by-step explanation:
Given the 2 equations
2x + 3y = 6 → (1)
3x - 2y = 22 → (2)
Eliminate the y- term by multiplying (1) by 2 and (2) by 3
4x + 6y = 12 → (3)
9x - 6y = 66 → (4)
Add (3) and (4) term by term
13x = 78 ( divide both sides by 13 )
x = 6
Substitute x = 6 into either of the 2 equations and solve for y
Using (1), then
(2 × 6) + 3y = 6
12 + 3y = 6 ( subtract 12 from both sides )
3y = - 6 ( divide both sides by 3 )
y = - 2
Solution is (6, - 2 )
