Rearrange the formula y= (x + 2)/(x - 4) to make X the subject ​

Question

Rearrange the formula y=


`(x + 2)/(x - 4)`
to make X the subject
​

Answer 1

x =
`(2+4y)/(y-1)`

Explanation:

Given

y =
`(x+2)/(x-4)` ( multiply both sides by x - 4 )

y(x - 4) = x + 2 ← distribute parenthesis on left side

xy - 4y = x + 2 ( add 4y to both sides )

xy = x + 2 + 4y ( subtract x from both sides )

xy - x = 2 + 4y ← factor out x from each term on the left side

x(y - 1) = 2 + 4y ( divide both sides by y - 1 )

x =
`(2+4y)/(y-1)`

Answer 2

Explanation:

`y =(x+2)/(x-4)\\\\y*(x-4)=x+2\\\\yx-4y = x+ 2\\\\yx-4y-x = 2\\\\yx -x = 2 +4y\\\\x(y-1)=2+4y\\\\x=(2+4y)/(y-1)`