5. 13 + 8x - 3y + 2y - 6x
First we need to mark out the individual terms.
(13) (+8x) (-3y) (+2y) (-6x)
Now we need to order the terms, with the xs being together, the ys being together, and the constants being together.
(+8x) (-6x) (13) (+2y) (-3y)
Now we write it without the term indicators.
+8x does not need the positive sign in front.
13 will need a positive sign in front.
8x - 6x + 13 + 2y - 3y
8x - 6x = 2x
13 is not being added or subtracted.
2y - 3y = -1y or -y
(8x - 6x) + 13 + (2y - 3y)
2x + 13 - y
Since we cannot simplify any further, that is our final answer.
2x + 13 - y
6. 9p + 5w + 9pw - 5 + 9
Again we have to identify the terms.
(9p) (+5w) (+9pw) (-5) (+9)
We must order the terms with similar variables together now.
(9p) (+9pw) (-5) (+9) (+5w)
Now we need to get rid of the term indicators.
9p + 9pw - 5 + 9 + 5w
9p is going to be alone.
9pw is going to be alone.
5w is going to be alone.
The reason we cannot add 9p or 5w to 9pw is because the other variable is stopping it.
- 5 + 9 = 9 - 5 = 4
9p + 9pw (-5 + 9) + 5w
9p + 9pw + 4 + 5w
Since we cannot simplify any further, that is our final answer.
9p + 9pw + 4 + 5w
I hope I have supplied the right answers and have helped you.
