Given:
Consider the expression is:
![13-\dfrac{x}{5}+6.2y+20.5x-\dfrac{3}{8}y](https://tex.z-dn.net/?f=13-%5Cdfrac%7Bx%7D%7B5%7D%2B6.2y%2B20.5x-%5Cdfrac%7B3%7D%7B8%7Dy)
To find:
The like terms that can be combined in this expression.
Solution:
Two terms are called like terms, if they have same variables of same degree.
We have,
![13-\dfrac{x}{5}+6.2y+20.5x-\dfrac{3}{8}y](https://tex.z-dn.net/?f=13-%5Cdfrac%7Bx%7D%7B5%7D%2B6.2y%2B20.5x-%5Cdfrac%7B3%7D%7B8%7Dy)
In the given expression, the pairs of likes terms are:
Pair 1:
and ![20.5x](https://tex.z-dn.net/?f=20.5x)
Pair 2:
and ![-\dfrac{3}{8}y](https://tex.z-dn.net/?f=-%5Cdfrac%7B3%7D%7B8%7Dy)
It means
can be combined with
and
can be combined with
.
Therefore, the correct option is C.