Combine the like terms in the expression 1∕2x – 2y + 2z –3z + 3∕4x – y

1/2x and 3/4x  > 5x/4

-2y  and -y> -3x

2z and -3z > -z

expression =  5x/4 -3y -z

Step-by-step explanation:

Like terms are those which have same variable and and the power of those variable is also same.

Note: The coefficient of variable can be different but the variable and power should be same

example

3x^2 and 18x^2 are like terms

expression 1∕2x – 2y + 2z –3z + 3∕4x – y

identify variable

x, y z

so like terms are those which have same variable and power

1/2x and 3/4x

-2y  and -y

2z and -3z

We have to combine them

1/2x + 3/4x = x(1/2 +3/4) = ((2*1+3)/4) *x= 5x/4

-2y  + -y = -y(2+1) = -3y

2z + -3z = z(2-3) = -z

Thus, whole expression after combining the term is

5x/4 -3y -z

paula, cory, and krista

the answer is b