Answer
A. y=$\frac{-2}{3}$x+4
Work Step by Step
Step 1: Get y by itself. We need to move the 2x over to the other side. Since it's positive, we do the opposite to move it over to the other side, meaning we subtract it. What you do to one side you must do to the other.
Your equation then becomes 3y=-2x+12.
Step 2: Continue to get y by itself. Since we have a 3y, we need to get rid of that 3 somehow. Since they are combined by multiplication, we have to divide by 3 to separate them. Thus, we divide everything by 3.
This gives us: y=-$\frac{2}{3}$x+$\frac{12}{3}$
Step 3: Simplify. We want to get it down to the simplest form we can.
This gives us: y=$\frac{-2}{3}$x+4
Step 4: Locate your answer.
A. y=$\frac{-2}{3}$x+4
