Question

Solve for the indicated variable.

Answer 1

`y = \frac { 2 ( x - 9 ) } { 9 }`

Explanation:

We are given the following expression and we are to solve it for the indicated variable (y):

`2 x - 9 y = 1 8`

Making
`y` the subject of the equation and simplifying it to get:

`2 x - 1 8 = 9 y \\\\ 9 y = 2 x - 1 8 \\\\ y = \frac { 2 x - 1 8 } { 9 } \\\\ y = \frac { 2 ( x - 9 ) } { 9 }`

Answer 2

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

Explanation:

The given equation is:

2x-9y=18

To solve for y means we need to isolate y on one side of the equation, carrying all the other variables and terms to the other side so that we get a formula for y. This can be done as shown below:

2x - 9y = 18

Subtracting 2x from both sides, we get:

-9y = 18 - 2x

Dividing both sides by -9, we get:

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