rewrite the equation so that y is a function of x.

2x = -3y + 10

add 3y to each side

subtract 2x from each side.
divide each side by 3

thanks...how do you know to add 3y to each side first?

You didn't have to, but I like to get y positive first. If you didn't do that, you would have divided both sides by -3

i got y = -2x + 10/3....is that right?

no, you did not divide the x term by 3

To rewrite the equation so that y is a function of x, we need to isolate y on one side of the equation.

Starting with the given equation:
2x = -3y + 10

First, let's move the constant term 10 to the other side by subtracting 10 from both sides:
2x - 10 = -3y

Next, let's divide both sides of the equation by -3 to isolate y:
(2x - 10)/(-3) = y

This simplifies to:
y = (10 - 2x)/3

Therefore, the equation y = (10 - 2x)/3 represents y as a function of x.