Question

Group the like terms together​
(i) $4x,-3y,-x,\frac{2}{3}x,\frac{4}{5}y\text{and}y$

Answer 1

The terms having the same literal coefficients are called like terms. They may differ only in their numeral coefficients.
Given terms: $4x,-3y,-x,\frac{2}{3}x,\frac{4}{5}y\text{and}y$
Here, $4x,-x,\frac{2}{3}x$ are like terms, as each has the same literal coefficient '$x$'.
Here, $-3y,\frac{4}{5}y\text{and}y$ are like terms, as each having the same literal coefficient '$y$'.
Therefore, like terms in the given group are $4x,-x,\frac{2}{3}x\text{and}-3y,\frac{4}{5}y,y$.