Question

Solve the equation 3x + 5y = 15 for y.

A. y 3-X
B. y = 15 - 3x
C. y= 3(15 - 3x)
D. y - x - 3
V
=

Answer 1

`y=(-3)/(5)x+3`

I don't see this in any of your choices.

Please be sure the problem and choices are as you want them to be seen by others. Thanks kindly.

I do hope my answer is helpful.

Explanation:

`3x+5y=15`

We want to get the term that contains
`y` by itself.

This means we want to get
`5y` by itself first.

To do this I need to get rid of the plus
`3x` on that side.

I will do the inverse operation of that; I will subtract 3x on both sides.

`3x+5y=15`

-3x -3x

`5y=15-3x`

`5y=+15-3x`

`5y=-3x+15` since addition is commutative.

Now we have the 5y term by itself. We want the factor y in 5y by itself.

To undo multiplication you must divide. We will divide both sides by 5:

`5y=-3x+15`

------------------------------

5

`(5y)/(5)=(-3x+15)/(5)`

`y=(-3x)/(5)+(15)/(5)`

`y=(-3)/(5)x+3`