Question

2/5y + 1/5x - 0.2y - 6 + -2 which are like terms. select all that apply​

Answer 1

$\text{Like terms are } \frac{2}{5}y \text{ and } -0.2y$

Solution:

Given that the expression is:

$\frac{2}{5}y + \frac{1}{5}x -0.2y-6+(-2)$

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 : $\frac{2}{5}y \text{ and } -0.2y$

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

$\frac{2}{5}y + \frac{1}{5}x -0.2y-6+(-2)\\\\\frac{2}{5}y - 0.2y + \frac{1}{5}x -6 + (-2)$

Thus the like terms are : $\frac{2}{5}y \text{ and } -0.2y$