# Linear Equation in One Variable

#### definition

• Linear Equation in One Variable: If there is only one variable in the equation then it is called a linear equation in one variable.

# Linear Equation in One Variable:

If there is only one variable in the equation then it is called a linear equation in one variable. These are called linear equations in one variable because the highest degree of the variable is one.

These are linear expressions:

2x, 2x + 1, 3y – 7, 12 – 5z, 5/4(x - 4) + 10

These are not linear expressions:
x2 + 1, y + y2, 1 + z + z2 + z3.     ....(since highest power of variable > 1)

The general form is ax + b = c, where a, b and c are real numbers and a ≠ 0.

Example:

x + 5 = 10, y – 3 = 19.

### Some Important points related to Linear Equations:

• There is an equality sign in the linear equation. The expression on the left of the equal sign is called the LHS (left-hand side) and the expression on the right of the equal sign is called the RHS (right-hand side).

• In the linear equation, the LHS is equal to RHS but this happens for some values only and these values are the solution of these linear equations.

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Linear Equations & Linear Equations in One Variable [00:22:54]
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