Question

What’s the solution to 3y=x - 4 and 6x - 6y = 8

Answer 1

(0, -
`(4)/(3)` )

Explanation:

Given the 2 equations

3y = x - 4 → (1)

6x - 6y = 8 → (2)

Rearrange (1) expressing x in terms of y by adding 4 to both sides

x = 3y + 4 → (3)

Substitute x = 3y + 4 into (2)

6(3y + 4) - 6y = 8 ← distribute and simplify left side

18y + 24 - 6y = 8

12y + 24 = 8 ( subtract 24 from both sides )

12y = - 16 ( divide both sides by 12 )

y =
`(-16)/(12)` = -
`(4)/(3)`

Substitute y = -
`(4)/(3)` into (3) and solve for x

x = 3(-
`(4)/(3)` ) + 4 = - 4 + 4 = 0

Solution is (0, -
`(4)/(3)` )

Answer 2

Y= x/3 - 4/3

X= 4/3 + y

Explanation: