Solving Equations

Suppose we have an equation,

  3x + 2 = 8

We had found it’s solution using trial & error.

But, that is a very long method.

Let’s solve the equation by other methods

Method 1

3x = 8 + 2

Putting 2 on right side

3x = 8 − 2

3x = 6

3 multiplied on left side will be 3 divided on right side

x = 6/3

x = 2

So, x = 2 is the solution

Method 2

3x + 2 = 8

Subtracting 2 on both sides

3x + 2 − 2 = 8 − 2

3x = 6

Dividing 3 on both sides

3x/3 = 6/3

x = 2

So, x = 2 is the solution

Solve x + 3 = 0

x + 3 = 0

Putting 3 on right side

x = 0 − 3

x = −3

So, x = −3 is the solution

Solve x − 7 = 1

x − 7 = 1

Putting 7 on right side

x = 1 + 7

x = 8

So, x = 8 is the solution

Solve 5x = 25

5x = 25

5 multiplied on left side will be 5 divided on right side

x = 25/5

x = 5

So, x = 5 is the solution

Solve x / 3 = 2

x/3 = 2

3 divided on left side will be
3 multiplied on right side

x = 2 × 3

x = 6

So, x = 6 is the solution

Solve 8x / 11 − 3 = 5

8x/11 − 3 = 5

8x/11 = 5 + 3

8x/11 = 8

x = 8 × 11/8

x = 11

So, x = 11 is the solution