Answer:
(6, 0 )
Explanation:
Given the 2 equations
x - 4y = 6 → (1)
2x + 2y = 12 → (2)
Rearrange (1) expressing x in terms of y by adding 4y to both sides
x = 6 + 4y → (3)
Substitute x = 6 + 4y into (2)
2(6 + 4y) + 2y = 12 ← distribute and simplify left side
12 + 8y + 2y = 12
10y + 12 = 12 ( subtract 12 from both sides )
10y = 0 ⇒ y = 0
Substitute y = 0 into (3) for corresponding value of x
x = 6 + 4(0) = 6 + 0 = 6
Solution is (6, 0 )