Question

Which pairs are like terms in the expression below? Select all that apply.

2/5y + 1/5x – 0.2y – 6 + (–2)
A. 2/5y and 15x
B. 2/5y and –0.2y
C. 1/5x and –0.2y
D. –0.2y and 2
E. –6 and –2

Answer 1

Reforming the input:
Changes made to your input should not affect the solution:

(1): "0.2" was replaced by "(2/10)".

STEP
1
:

1
Simplify —
5
Equation at the end of step
1
:

2 1 1
((((—•y)+(—•x))-(—•y))-6)+-2
5 5 5
STEP
2
:

1
Simplify —
5
Equation at the end of step
2
:

2 1 y
((((—•y)+(—•x))-—)-6)+-2
5 5 5
STEP
3
:

2
Simplify —
5
Equation at the end of step
3
:

2 x y
((((— • y) + —) - —) - 6) + -2
5 5 5
STEP
4
:

Adding fractions which have a common denominator :

4.1 Adding fractions which have a common denominator
Combine the numerators together, put the sum or difference over the common denominator then reduce to lowest terms if possible:

2y + x 2y + x
—————— = ——————
5 5
Equation at the end of step
4
:

(2y + x) y
((———————— - —) - 6) + -2
5 5
STEP
5
:

Adding fractions which have a common denominator :

5.1 Adding fractions which have a common denominator
Combine the numerators together, put the sum or difference over the common denominator then reduce to lowest terms if possible:

(2y+x) - (y) y + x
———————————— = —————
5 5
Equation at the end of step
5
:

(y + x)
(——————— - 6) + -2
5
STEP
6
:

Rewriting the whole as an Equivalent Fraction :

6.1 Subtracting a whole from a fraction

Rewrite the whole as a fraction using 5 as the denominator :

6 6 • 5
6 = — = —————
1 5
Equivalent fraction : The fraction thus generated looks different but has the same value as the whole

Common denominator : The equivalent fraction and the other fraction involved in the calculation share the same denominator

Adding fractions that have a common denominator :

6.2 Adding up the two equivalent fractions
Add the two equivalent fractions which now have a common denominator

Combine the numerators together, put the sum or difference over the common denominator then reduce to lowest terms if possible:

(y+x) - (6 • 5) y + x - 30
——————————————— = ——————————
5 5
Equation at the end of step
6
:

(y + x - 30)
———————————— + -2
5
STEP
7
:

Rewriting the whole as an Equivalent Fraction :

7.1 Adding a whole to a fraction

Rewrite the whole as a fraction using 5 as the denominator :

-2 -2 • 5
-2 = —— = ——————
1 5
Adding fractions that have a common denominator :

7.2 Adding up the two equivalent fractions

(y+x-30) + -2 • 5 y + x - 40
————————————————— = ——————————
5 5
Final result :
y + x - 40
——————————
5

Answer 2

The answer is B.

So like terms have the same variable.

and in this expression 2/5y and -0.2y have the variable Y.

therefore, the answer is B.