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Simplify 9y+2y-5y please answer

2 Answers

0 votes

Answer:

6y

Explanation:

We are given the expression:

9y+2y-5y

and asked to simplify.

Each term in the expression has the same variable, a "y". Therefore, all three terms are like terms. We can combine the like terms in the expression.

First, factor out a y from each term.

9y+2y-5y

(9+2-5)*y

Solve inside the parentheses first. Add 9 and 2.

(11-5)*y

Subtract 5 from 11.

(6)*y

6y

The expression 9y+2y-5y simplified is 6y.

User Thatsjoke
by
8.7k points
2 votes

Answer:


9y+2y-5y=6y

Explanation:

So we have the expression:


9y+2y-5y

To simplify, simply combine the like terms. Therefore:


9y+2y-5y\\=11y-5y\\=6y

Further notes:

To understand why we can combine like terms in the first place, we just need to use the distributive property. So we have the expression:


9y+2y-5y

Now, factor out a y from the three terms:


=y(9+2-5)

Do all the operations inside the parenthesis:


y(9+2-5)\\=y(11-5)\\=y(6)=6y

And we moved the y back to the front!

This is the same result as before. When combining like terms, this is what we're essentially doing but without doing the distributive property manually. I hope you understand a bit better on how and why we can combine like terms!

User Daniel Storey
by
8.1k points

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