Question

What is an equation?
A. A statement in which the values of two mathematical expressions are equal.
B. An expression that computes the values of variables.
C. A mathematical expression.
D. None of these.

Answer 1

Hint: Here we will use standard definitions of mathematics. Also, some examples will be used to illustrate the given term equation.
For this question we will understand what does an equation mean in mathematics.
There are various types of relationships between two or more numbers in mathematics. Some of them are; greater than, less than, equal, not equal, greater than or equal to, less than or equal to etc.

Complete step-by-step answer:
Now, let us consider two mathematical expressions, \[2{\text{x}} + 1\] and \[3{\text{x}} - 2 + 3 - {\text{x}}\]. If we simplify the second expression i.e. \[3{\text{x}} - 2 + 3 - {\text{x}} = 2{\text{x}} + 1\] then we observe that first it comes out equal to first expression. Such mathematics are said to be equal expressions. For any value of x these two expressions will yield the same values.
Equation: Equation can be defined as the statement in which the values of two mathematical expressions are equal. For example, consider the statement “Rahul has two cars, his friend Nikhil has four cars and their friend Rabat has cars half than that of Nikhil.” Can you determine the relationship between the cars which Rahul and Rabat have?
Yes, it is very easy to determine this, they both have equal cars, therefore, the statement that Rahul and Nikhil have the same number of cars is an equation.

Hence, option A is the correct option.

Note: Linear equations help in finding the unknown value of any quantity. We use linear equations in one variable if we have to find one unknown variable and we use linear equations in two variables if two unknowns are to be found.