Question

Solve 16r + 9 = 9y - 2x for y

Answer 1

Given

`16x+9=9y-2x`

You have to solve it for y, so first step is to have one side of the equation with the term associated iwth y and all other terms in the other side.

`\begin{gathered} 16x+9+2x=9y-2x+2x \\ 16x+2x+9=9y \\ 9y=18x+9 \end{gathered}`

Next divide by 9 both sides to reach the equivalency for y:

`\begin{gathered} (9y)/(9)=(18x+9)/(9) \\ (9)/(9)y=(18x)/(9)+(9)/(9) \\ y=2x+1 \end{gathered}`