Answer:
(6, 2 )
Step-by-step explanation:
Given the 2 equations
x + 2y = 10 → (1)
y = 4x - 22 → (2)
Substitute y = 4x - 22 into (1)
x + 2(4x - 22) = 10 ← distribute and simplify left side
x + 8x - 44 = 10
9x - 44 = 10 ( add 44 to both sides )
9x = 54 ( divide both sides by 9 )
x = 6
Substitute x = 6 into (2) for corresponding value of y
y = (4 × 6) - 22 = 24 - 22 = 2
Solution is (6, 2 )
