404,105 views
17 votes
17 votes
Which expression is equivalent to (12x - 5y - 1) + (174 - 4 - 13x – 3y)?

Which expression is equivalent to (12x - 5y - 1) + (174 - 4 - 13x – 3y)?-example-1
User Darkey
by
2.8k points

1 Answer

15 votes
15 votes

Given the following expression:


\mleft(12x-5y-1\mright)+(17y-4-13x-3y)

You can find an equivalent expression by simplifying it.

Remember the Sign Rules for Multiplication:


\begin{gathered} +\cdot+=+ \\ -\cdot-=+ \\ -\cdot+=- \\ +\cdot-=- \end{gathered}

Then, you can rewrite the expression as follows:


=12x-5y-1+17y-4-13x-3y

And finally, you have to add the like terms (by definition, like terms have the same variables and the same exponents). Then, you get:


\begin{gathered} =(12x-13x)+(-5y+17y-3y)-1-4 \\ =-x+9y-5 \end{gathered}

Therefore, the answer is: Second option.

User Fankibiber
by
3.0k points
Welcome to QAmmunity.org, where you can ask questions and receive answers from other members of our community.