Answer:
(4, 2 ) and (5, - 4 )
Step-by-step explanation:
(3)
6x + 2y = 28 → (1)
x = 2y → (2)
Substitute x = 2y into (1)
6(2y) + 2y = 28
12y + 2y = 28
14y = 28 ( divide both sides by 14 )
y = 2
Substitute y = 2 into (2) for corresponding value of x
x = 2(2) = 4
solution is (4, 2 )
(4)
x + y = 1 → (1)
2x + y = 6 → (2)
Rearrange (2) expressing y in terms of x by subtracting 2x from both sides
y = 6 - 2x → (3)
Substitute y = 6 - 2x into (1)
x + 6 - 2x = 1
- x + 6 = 1 ( subtract 6 from both sides )
- x = - 5 ( multiply both sides by - 1 )
x = 5
Substitute x = 5 into (3) for corresponding value of y
y = 6 - 2(5) = 6 - 10 = - 4
solution is (5, - 4 )
