Question

Simplify $7x + 3x$?

Answer 1

Hint: Apply the addition of an algebraic expression. A combination of variables, constants, and operators constitute an algebraic expression. The four basic operations of mathematics that are addition, subtraction, multiplication, and division can also be performed on algebraic equations. The addition and the subtraction of algebraic expressions are almost similar to the addition and subtraction of numbers. But in addition to algebraic expressions while adding algebraic expressions we collect the like terms and add them. The sum of several like terms is the like term whose coefficient is the sum of the coefficients of these like terms.

Complete step by step answer:
In this question, we want to apply the addition of an algebraic expression. This expression has only one variable that is ‘x’.
The given expression is:
$ \Rightarrow 7x + 3x$
In this expression, 7x and 3x are like terms. And the coefficient of the first term 7x is 7, and the coefficient of the second term 3x is 3.
Therefore, the addition of the coefficients 7 and 3 is 10.
$ \Rightarrow 10x$
Hence, the solution of the given expression $7x + 3x$ is $10x$.

Note: There are two ways to solve the addition of algebraic expressions.
• Horizontal method: In this method, all expressions are written in a horizontal line, and then the terms are arranged to collect all the groups of like terms and then added.
• Column method: In this method, each expression is written in a separate row such that there like terms are arranged one below the other in a column. Then the addition of terms is done column-wise.