Answer:
(6, 4 )
Explanation:
Given the 2 equations
4x - 3y = 12 → (1)
x + 2y = 14 → (2)
Multiplying (2) by - 4 and adding to (1) will eliminate the y- term
- 4x - 8y = - 56 → (3)
Add (1) and (3) term by term
(4x - 4x) + (- 3y - 8y) = (12 - 56) ← simplify
- 11y = - 44 ( divide both sides by - 11 )
y = 4
Substitute y = 4 into either (1) or (2)
(2 ) : x + 8 = 14 ( subtract 8 from both sides )
x = 6
Solution is (6, 4 )