    Question

# Which of the following equation(s) is/are linear equation(s) in one variable? I. 2x + 3y = 10 II. 4a + 3b = 3b + 6 III. 2x = 3x + 4

Open in App
Solution

## If the degree of an equation is one, then that equation is called a linear equation. In all the equations given, the degree of each equation is one as the highest exponent of variables in a term is one. Equations which have only one variable or which can be reduced to equations having only one variable are known as linear equations in one variable. Since, 4a + 3b = 3b + 6 can be reduced to a linear equation in variable "a" by subtracting "3b" from both sides, this is a linear equation in one variable. Also, 2x = 3x + 4 is a linear equation in one variable as it has only one variable, x. The equation 2x + 3y = 10 is also linear but it has two variables, namely x and y. So, it is not a linear equation in one variable.  Suggest Corrections  0      Similar questions
Join BYJU'S Learning Program
Select...  Related Videos   Sons of Babur
HISTORY
Watch in App  Explore more
Join BYJU'S Learning Program
Select...