How do you combine like terms in #(5.3x - 8.2y ) + ( 13.3y - 4.1x )#?

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Answer 1 · 2017-02-23T17:46:07

See the entire solution process below:

First, remove all of the individual terms from parenthesis. Be sure you are careful in how you handle the signs for the individual terms.

#5.3color(red)(x) - 8.2color(blue)(y) + 13.3color(blue)(y) - 4.1color(red)(x)#

Next, rewrite the expression grouping like terms:

#5.3color(red)(x) - 4.1color(red)(x) - 8.2color(blue)(y) + 13.3color(blue)(y)#

Now, group like terms:

#(5.3 - 4.1)color(red)(x) + (-8.2 + 13.3)color(blue)(y)#

#1.2color(red)(x) + 5.1color(blue)(y)#