Solve for y
-3x + 3y = 21

y = x + 7

Step-by-step explanation:

Your equation is -3x + 3y = 21

You want to get the y by itself (this would be easiest if you kept the y on the left side of the equation since this is where the y formally is). To do this, you need to get the -3x on the other side. Since the integer is negative, you are going to add the integer on both sides (this will cancel out the -3x on the left side since you are doing the opposite of the integer). This is shown below.

-3x + 3y = 21

+3x           +3x

3y = 3x + 21

The part on the question on the right side is 3x + 21. The 3x is shown first because the x of these equations are always first. The 21 is + 21 because the 21 is already positive.

Now, we need to get the 3y to be y by itself. To do this, we need to divide the equation it total by 3. Since the 3 is attached to the y, this represents multiplication. You always want to do the opposite to do these equations. This step is shown below.

3y = 3x + 21

     /3

3y divided by 3 = y

3x divided by 3 = x

21 divided by 3 = 7

Now plug these into the equation.

y = x + 7

I hope this helps! Have a good day, and please mark brainliest ^-^

22 dimes and 9 nickels

step-by-step explanation:

guess at question:

a vertical line intersects the graph of g(x,y) = 0 at two points. what conclusion follows about the function f(x) implicitly defined by g(x,f(x)) = 0?

the domain of f(x) cannot include the x coordinate of any such vertical line.

informally, f(x) is not a function, and

g(x,y)=0 cannot be solved for y uniquely.

the relation r = {(x,y) such that g(x,y) = 0} is a function if

for all (a,b) ∊ r and (c,d) ∊ r, a=c implies b=d.

step-by-step explanation: