How do you simplify # (-6x + 2y - 3) + (2x - 4y - 7)#?

1 Answer
Nov 10, 2015

Answer:

  • Open up the parentheses
  • Sort x's, y's and constants
  • Add the x's, y's and constants together

Explanation:

Since both of the sets of parentheses are positive, you can remove them. Keep in mind that when you have negative parentheses, for example -(a-b), you have to change the signs inside the parentheses, so you get -a -b.
This won't be a problem here, since we only have positive parentheses.

#(-6x + 2y - 3) + (2x - 4y - 7)#
# = -6x + 2y - 3 + 2x - 4y - 7#

Let's sort...

#-6x + 2x +2y - 4y - 3 - 7#

Add x's together, y's together and constants together...

#-4x -2y -10#

And that's your answer!

You can eventually factorize #-2# out of the expression so you have #-2(2x + y + 5)#

but you don't have to.