Question

2.
Make x the subject of
S
y =
x +3/x-8

Answer 1

x =
`(8y+3)/(y-1)`

Explanation:

given

y =
`(x+3)/(x-8)` ( multiply both sides by x - 8 )

y(x - 8) = x + 3 ( distribute parenthesis by y on the left side )

xy - 8y = x + 3 ( add 8y to both sides )

xy = 8y + x + 3 ( subtract x from both sides )

xy - x = 8y + 3 ← factor out x from each term on the left side

x(y - 1) = 8y + 3 ( divide both sides by (x - 1) )

x =
`(8y+3)/(y-1)`