Question

Rearrange y=4-3x/x-5 to make x the subject

Answer 1

x =
`(4+5y)/(y+3)`

Explanation:

Given

y =
`(4-3x)/(x-5)` ( multiply both sides by x - 5

y(x - 5) = 4 - 3x ( distribute left side )

xy - 5y = 4 - 3x ( add 3x to both sides )

xy + 3x - 5y = 4 ( add 5y to both sides )

xy + 3x = 4 + 5y ← factor out x from each term on the left side

x(y + 3) = 4 + 5y ← divide both sides by y + 3

x =
`(4+5y)/(y+3)`