Question

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

Answer 1

Answer:

$y=\frac{-3}{5}x+3$

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

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I do hope my answer is helpful.

Step-by-step 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:

$5y=-3x+15$

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            5

$\frac{5y}{5}=\frac{-3x+15}{5}$

$y=\frac{-3x}{5}+\frac{15}{5}$

$y=\frac{-3}{5}x+3$