Respuesta :

The pair of like terms are:

[tex]\frac{2}{5}y \text{ and } -0.2y[/tex]

Solution:

Given expression is:

[tex]\frac{2}{5}y + \frac{1}{5}x -0.2y-6+(-2)[/tex]

We have to find the pairs that are like terms in the given expression

Like terms means that, terms that have same varibale but different ( or same ) coefficients

Here in the given expression "x" and "y" are the two variables present

Arrange the like terms

[tex]\frac{2}{5}y-0.2y+\frac{1}{5}x-6+(-2)[/tex]

So here the first two terms has same varibale "y" but different coefficients. So they form a pair of like terms

"x" is present only once . There is no other term with variable "x"

6 and -2 are constants

So the pair of like terms are: [tex]\frac{2}{5}y \text{ and } -0.2y[/tex]