Linear Equation in One Variable

What is Linear Equation in One Variable?

Any equation with degree 1 and containing one variable is called a linear equation in one variable. They represent a straight line parallel to the coordinate axis.

What is the Degree of Linear Equation in One Variable?

As we know Linear equations in One Variable are linear, i.e. the degree of the equation is ‘1’. We can say that in a linear equation, the highest power of the variable is 1.

What are the Examples of Linear Equations in One Variable?

Various examples of linear equations in one variable are,

• 5a + 11 = 2a – 3
• 2x + x = 13 + 11
• y + 3y – 2y = 7 + 9

Can a Linear Equation Have More than One Variable?

Yes, linear equations can have more than one variable, as all the equations with degree 1 are called linear equations. Thus, 2x+3y-7=0 and 3x+y-2z=8 are examples of linear equations that have more than one variable.

How do you Solve Linear Equations in One Variable?

We can solve linear equations in one variable by simply following the following steps,

Step 1: Arrange the equation in standard form.

Step 2: Send all constants to the right-hand side.

Step 3: Simplify the equation to get the solution of the linear equation in one variable.

What is the General Form of a Linear Equation in One Variable?

The general form of a linear equation in one variable is,

ax + b = 0

Where,

• x is the variable, and 
• a, and b are constant and a can never be zero.

How many Solutions does a Linear Equation in One Variable have?

In a linear equation with one variable, it has a degree of one and hence it has only one solution. For example, any linear equation ax + b = 0 only has one solution i.e. the solution of ax + b = 0 is x = -b/a.

Linear equation in one variable is the equation that is used in algebra for finding unknown quantities. It is used for representing the conditions that are dependent on one variable. It is a linear equation i.e. the equation in which the degree of the equation is one, and it only has one variable.

Let’s know more about Linear Equations in one Variable in detail below.