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]

Answer:

Correct

Step-by-step explanation:

Correct

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