
Which of the following is not a linear equation in one variable? Why?
$2x - 1 = \dfrac{3}{2}$
$x + 3y = 5$
$a = 0$
Answer
513.6k+ views
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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