Question

Linear equation in one variable has
A.Only one variable with any power
B.Only one term with a variable
C.Only one variable with power 1
D.Only constant term

Answer 1

Hint: Here, we will first define the linear equation in one variable. We will then analyze all the options and check which satisfies the definition of linear equation in one variable. We will then choose the one option

Complete step-by-step answer:
An Equation having the maximum order of 1 is said to be a Linear equation. The linear equations are defined for lines present in the coordinate system. Linear equations are also first-degree equations as it has the highest exponent of variables as 1.
Linear equations are a combination of both constants and variables. The linear equations in one variable is an equation which can be expressed in the form of \[ax + b = 0\] , where \[b\] and \[a\] are integers, \[x\] is a variable and the equation has only one solution.
The linear equation has the highest exponent of variables as 1 and has only one variable.
Therefore, the Linear equation in one variable has only one variable with power 1 .
Thus, option C is the correct answer.

Note: Examples of Linear equations in one variable are \[2x + 5 = 0\] ,\[\dfrac{4}{5}x = 0\] . Every linear equation in one variable has only one unique solution. Similarly, there are linear equations in two variables, linear equations in three variables, and so on. We can solve the linear equations in two variables using elimination and substitution methods and the linear equations in three variables by using the matrix method.