Solution of a Linear Equation

# Solution of a Linear Equation

• Solution of an Equation
• Linear Equation in One Variable
• Summary
• What’s Next?

In the previous segment of Class 6 Maths, we learnt how to count terms. In this segment, we will learn about Solution of an equation.

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## What is the Solution of an equation?

An equation is said to be satisfied when its L.H.S. is equal to R.H.S after replacing the variable with a numerical value.

The value of a variable that can satisfy an equation is called the Solution of that equation. For example,

Consider the equation 6x + 3 = 21.

When x = 3 is put in the L.H.S, of this equation, then L.H.S. = 6(3) + 3 = 18 + 3 = 21 = R.H.S.

Thus, x = 3 satisfies the equation 6x + 3 = 21.

Hence, x = 3 is the solution of the equation 6x + 3 = 21.

## What is a Linear equation in one variable?

An equation that consists of only one variable and whose highest power in the equation is 1 is called a Linear equation in one variable. They are also called as First degree equations in one variable.

For example,

● 6x + 45 = 81

● 17y = 10

● z – 6 = 4

## Summary

 Solution of an Equation The value of a variable that can satisfy an equation Linear Equation in one Variable An equation that consists of only one variable and whose highest power in the equation is 1 Also called as First degree equations in one variable.

## What’s next?

In our next segment of Class 6 Maths, we will understand the solution of an equation.

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