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

Question

asked Mar 2, 2021 129k views

2 Answers

Mercutio · Answer 1 · 2021-03-07T08:01:30+0000

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

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 :
$(2)/(5)y \text{ and } -0.2y$