Answer:
(2, 4 )
Step-by-step explanation:
Given the 2 equations
3x - 2y = - 2 → (1)
x + 3y = 14 → (2)
Rearrange (2) expressing x in terms of y by subtracting 3y from both sides
x = 14 - 3y → (3)
Substitute x = 14 - 3y into (1)
3(14 - 3y) - 2y = - 2 ← distribute and simplify left side
42 - 9y - 2y = - 2
42 - 11y = - 2 ( subtract 42 from both sides )
- 11y = - 44 ( divide both sides by - 11 )
y = 4
Substitute y = 4 into (3) for corresponding value of x
x = 14 - 3(4) = 14 - 12 = 2
Solution is (2, 4 )
