Question

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

Answer 1

Correct

Explanation:

Correct

Answer 2

`\text{Like terms are } (2)/(5)y \text{ and } -0.2y`

Solution:

Given that the expression is:

`(2)/(5)y + (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 :
`(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

`(2)/(5)y + (1)/(5)x -0.2y-6+(-2)\\\\(2)/(5)y - 0.2y + (1)/(5)x -6 + (-2)`

Thus the like terms are :
`(2)/(5)y \text{ and } -0.2y`