# Which of the following is not a linear equation in one variable? Why?

$2x - 1 = \dfrac{3}{2}$

$x + 3y = 5$

$a = 0$

Last updated date: 19th Mar 2023

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Answer

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Hint: Check for the number of variables and the highest degree of it.

Consider the given equation,

$2x - 1 = \dfrac{3}{2}$

We can see that there is only one variable and the highest order of the variable is $1$. Therefore, this is a linear equation in one variable.

Consider the second equation,

$x + 3y = 5$

Here, the highest degree of the variable is $1$, but there are two variables $x$ and $y$.Therefore, this is not a linear equation in one variable.

Consider the third equation,

$a = 0$

Here, only one variable is given and the highest order of the variable is $1$. Therefore, this is a linear equation in one variable.

Note: In these questions, check the number of variables, and then find the highest order of the variable.

Consider the given equation,

$2x - 1 = \dfrac{3}{2}$

We can see that there is only one variable and the highest order of the variable is $1$. Therefore, this is a linear equation in one variable.

Consider the second equation,

$x + 3y = 5$

Here, the highest degree of the variable is $1$, but there are two variables $x$ and $y$.Therefore, this is not a linear equation in one variable.

Consider the third equation,

$a = 0$

Here, only one variable is given and the highest order of the variable is $1$. Therefore, this is a linear equation in one variable.

Note: In these questions, check the number of variables, and then find the highest order of the variable.

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