Answer:
1/2x and 3/4x ----> 5x/4
-2y and -y-----> -3x
2z and -3z -----> -z
expression = 5x/4 -3y -z
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
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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