9514 1404 393
Answer:
y = -5/3x -13/3
Step-by-step explanation:
In any "solve for ..." problem, it is useful to start by identifying where the target is and what has been done to it. Here, y is in one term on the left side of the equation and it has had these things done to it:
We want to undo these in reverse order. We undo addition by adding the opposite. We undo multiplication by multiplying by the reciprocal (equivalently, dividing). <em>Whatever we do to one side of the equation, we must also do to the other side</em>.
So, first we add the opposite of -5x to both sides of the equation.
-5x +5x -3y = 13 +5x
-3y = 13 +5x . . . . . . . . . collect terms
Next, we undo the multiplication by -3. We can do that by multiplying both sides by 1/(-3) = -1/3.
(-1/3)(-3y) = (-1/3)(13 +5x)
y = -5/3x -13/3 . . . . . also we rearranged the terms to standard form
