Question

Solve literal equation for y: 2x + 9y = 18

Answer 1

The given equation is

`2x+9y=18`

We want to solve this equation for y.

Our goal is to separate the variable y.

First, subtract 2x from both sides of the equation

`2x-2x+9y=18-2x`

Simplify the equation

`9y=18-2x`

Now divide both sides of the equation by 9.

`(9y)/(9)=(18-2x)/(9)`

Simplify the equation

`y=(18-2x)/(9)`

As you can notice, we have solved the equation for the variable y.

The solution can also be written as,

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