Respuesta :
[tex]\text{Like terms are } \frac{2}{5}y \text{ and } -0.2y[/tex]
Solution:
Given that the expression is:
[tex]\frac{2}{5}y + \frac{1}{5}x -0.2y-6+(-2)[/tex]
We have to select the like terms
"Like terms" means that terms that has same variables with same exponent and same ( or different ) coefficients
In the given expression, y is a variable
Two terms has y as variable : [tex]\frac{2}{5}y \text{ and } -0.2y[/tex]
Here variable "y" is same in both terms and coefficients are different
"x" is also a variable in given expression. But there are no other terms with "x" as variable
So they form a like terms
[tex]\frac{2}{5}y + \frac{1}{5}x -0.2y-6+(-2)\\\\\frac{2}{5}y - 0.2y + \frac{1}{5}x -6 + (-2)[/tex]
Thus the like terms are : [tex]\frac{2}{5}y \text{ and } -0.2y[/tex]