Question

Given x(y + 2) = 3x + y, express y in terms of x.​

Answer 1

y =
`(x)/(x-1)`

Explanation:

Given

x(y + 2) = 3x + y ← distribute parenthesis on left side

xy + 2x = 3x + y ( subtract 2x from both sides )

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

xy - y = x ← factor out y from each term on the left side )

y(x - 1) = x ← divide both sides by (x - 1)

y =
`(x)/(x-1)`