Question

If A = 2x - y + 3xy, B = x + 2xy and C = 3y + xy, find the value of A+B+C

Answer 1

Answer:
`A+B+C = 3x + 2y + 6xy`

Explanation:

We are given the following:
`A = 2x - y + 3xy` ,
`B = x + 2xy` and lastly
`C = 3y + xy`.

This equation involves the process of combining like terms. Unlike other problems, there may be multiple numbers and variables left over, but this is only because they can no longer be simplified among each other.

We can start with the x's of each letter: We have 2x from A, X from B, and nothing from C. Through the process of combining like terms,
`2x+x` we are left with 3x so far.

Now, let us move on to the y's of each letter: We have a -y from A, nothing from B, and a 3y from C. Once again we would combine these terms together
`3y-y` and we would receive 2y. So we are now at
`3x+2y`.

Lastly we are looking for the xy's. We are given a 3xy from A, a 2xy from B, and a xy from C. When combining these,
`3xy+2xy+xy` we are left with 6xy. Leaving us with
`3x+2y+6xy`.

This now leaves us with our complete and final answer:
`A + B + C = 3x+2y+6xy`