Respuesta :
Answer:
[tex]9y+2y-5y=6y[/tex]
Step-by-step explanation:
So we have the expression:
[tex]9y+2y-5y[/tex]
To simplify, simply combine the like terms. Therefore:
[tex]9y+2y-5y\\=11y-5y\\=6y[/tex]
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:
[tex]9y+2y-5y[/tex]
Now, factor out a y from the three terms:
[tex]=y(9+2-5)[/tex]
Do all the operations inside the parenthesis:
[tex]y(9+2-5)\\=y(11-5)\\=y(6)=6y[/tex]
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!
Answer:
6y
Step-by-step 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.