# What is linear equation | linear equation definition

In that article **what is linear equation** give the linear equation examples also **linear equation definition** and linear function examples also **solving linear equations examples**.

what is linear equation:

**Important things to remember :**

- Real numbers a and b (where a is not equal to zero) and x is a variable, So the equation ax + b = 0 is called
**one variable linear equation.** - The left hand side of the equation ax + b = 0 is a linear polynomial and there is only one variable in that polynomial.
- If a given equation converts to an equation of the form ax + b = 0, then it is said to be a linear equation in
**one variable.** - The exponent of the x variable in the equation is one. These equations are like the general form of the linear equation ax + b = 0. So they are
**linear equations.**

**Some Linear equation example :**

**1) 5x – 12 = 0**

**2) 7x + 6 = 9x – 4**

**3) x + 9 = 4x.**

**To Solve the equation :**

- The number by which both sides of the equation are equal in value. That number is said to satisfy the equation.
- The number that satisfies the equation is called the solution of the equation.
- The set of solutions of an equation is the set of solutions of that equation.

**Questions with answer :**

**Ex 1) 2x = 18 then x =?****Ans. :**

2x = 18

x = 18 / 2**therefore, x = 9.**

**Ex 2) 3x + 7 = 22 then x = ?****Ans. :**

3x + 7 = 22

3x = 22 – 7

3x = 15

x = 15 / 3**therefore, x = 5.**

**Ex 3) x + 9 = 4x****Ans. :**

x + 9 = 4x

9 = 4x – x

9 = 3x

x = 9 / 3**therefore , x = 3.**

**Ex 4) y – 4 = 3y – 10****Ans. :**

10 – 4 = 3y – y

6 = 2y

y = 6 / 2

y = 3**therefore, y = 3.**

**Ex 5) ( 5x / 2 ) + 3 = 21 / 2****Ans. :**

( 5x / 2 ) + 3 = 21 / 2

both sides multiples by 2, we get

5x + 6 = 21

5x = 21 – 6

5x = 15

x = 15 / 5

x = 3**therefore, x = 3.**

**Ex 6) ( y – 1 ) / 5 = y / 3****Ans. :**

( y – 1 ) / 5 = y / 3

3 ( y – 1 ) = 5y

3y – 3 = 5y

3y – 5y = 3

– 2y = 3

y = -3 / 2**therefore, y = – 3 / 2.**

**Related Links :**

- statistical time series || time series analysis and Example
- Time speed distance || speed distance time formula
- Variation meaning || types of variation || direct variation || inverse variation
- what is partnership || partnership definition || features of partnership
- work and time problems || time and work || time and work shortcut trick