Question

How do you do this math problem 2xy— 6 = 8x

Answer 1

x =
`(6)/(2y-8)` or
`(3)/(y-4)` (Note:
`(3)/(y-4)` is the simplified version)

Explanation:

2xy - 6 = 8x Original problem

2xy - 6 + (-8x) = 8x + (-8x) Add -8x to both sides

2xy - 8x - 6 = 0

2xy-8x - 6 (+6) = 0 (+6) Add 6 to both sides

2xy - 8x = 6 .

x(2y - 8) = 6 Factor out variable x

`(x(2y-8))/(2y-8) =(6)/(2y-8)` Divide both sides by 2y - 8

x =
`(6)/(2y-8)` =
`(3)/(y-4)`