# How do you simplify #(63x + 6y) + (-16x + 46y) #?

##### 1 Answer

#### Explanation:

"You'll have to count apples as apples and oranges as oranges."

In this case, the apples would be the x, and the oranges would be the y (or vice versa).

Well, in other words, you cannot add x and y together because they are two different things, so just leave them separate.

Anyway, it is just a matter of opening the parentheses and do simple additions.

Remember the rules:

Let's open all those parentheses without any worry of changing signs in this case.

Note: the MINUS sign here is associated to the number 16. It is really just (-16). The sign outside the parentheses are all +.

So, we have:

Now we have to count the x together and the y together.

We group them together (it's easier to see) and have:

Here, you see, we are gathering the apples (x) and the oranges (y) together.

You could factor out the x and y and rewrite this as follow:

if it makes you feel more comfortable doing the addition (subtraction).

Finally,

so we have

which cannot be simplified further.

That's it. Hope it helped.