Question

How do I solve this and get y?

Answer 1

y = (1 -3x)/x

Explanation:

Rearrange terms to get an expression that has y as a multiplier, and divide by the coefficient of y.

`(1+2xy)/(y+1)=3x\qquad\text{given}\\\\1+2xy=3x(y+1)\qquad\text{multiply by $(y+1)$}\\\\1+2xy=3xy+3x\qquad\text{eliminate parentheses}\\\\1-3x=xy\qquad\text{subtract $(3x+2xy)$}\\\\\boxed{y=(1-3x)/(x)}\qquad\text{divide by the coefficient of y}`