Question

Identify the like terms in the algebraic expression 2x/5-5.2y+2.2+x/3​

Answer 1

Question:

Identify the like terms in the algebraic expression

$\frac{2x}{5} -5.2y +2.2 + \frac{x}{3}$

Answer:

The like terms in the given expression are $\frac{2x}{5}$ and $\frac{x}{3}$

Step-by-step explanation:

Given:

$\frac{2x}{5} -5.2y +2.2 + \frac{x}{3}$

Required:

Identify the like terms

To solve this, we need to understand what like term is all about.

Like term simply refer to terms or entities that have the same variable and exponents (power)

From the expression above, there are two variables;

x and y.

To get the like terms of x and/or y;

we simply look for another occurrence of x and/or y in the expression; and this occurrence must have the same exponent as x and/or y.

For x

$\frac{2x}{5}$ and $\frac{x}{3}$ have the same variable and exponent; Hence, they are like terms

There's only one occurrence of variable y;

Conclusively, the like terms in the given expression are $\frac{2x}{5}$ and $\frac{x}{3}$