Answer:
(- 2, 5 )
Explanation:
Given the 2 equations
3x + 4y = 14 → (1)
x = 2y - 12 → (2)
Substitute x = 2y - 12 into (1)
3(2y - 12) + 4y = 14 ← distribute and simplify left side
6y - 36 + 4y = 14
10y - 36 = 14 ( add 36 to both sides )
10y = 50 ( divide both sides by 10 )
y = 5
Substitute y = 5 into (2) for corresponding value of x
x = 2(5) - 12 = 10 - 12 = - 2
Solution is (- 2, 5 )