Answer:
x = 4, y = 2
Step-by-step explanation:
Given the 2 equations
5x + 2y = 24 → (1)
5y = x + 6 → (2)
Rearrange (2) expressing x in terms of y by subtracting 6 from both sides
x = 5y - 6 → (3)
Substitute x = 5y - 6 into (1)
5(5y - 6) + 2y = 24 ← distribute and simplify left side
25y - 30 + 2y = 24
27y - 30 = 24 ( add 30 to both sides )
27y = 54 ( divide both sides by 27 )
y = 2
Substitute y = 2 into (3) for corresponding value of x
x = (5 × 2) - 6 = 10 - 6 = 4
