Rules for Rewriting Equations-II

In this session we will see that solving equations can also be done by transposition.

Consider an equation as shown.

Now, add 6 on both sides and we get the value of x as 13.

Here, the equation can also be solved by transposing -6 as shown.

When a term is subtracted on one side, it gets transposed to the other side by adding it.

Consider the equation shown.

Now, subtract 2 on both sides and we get the value of x as 2.

Here, the equation can also be solved by transposing 2 as shown.

When a term is added on one side, it gets transposed to the other side by subtracting it.

Consider the equation shown.

Now, multiply 5 on both sides and we get the value of x as 10.

Here, the equation can also be solved by transposing 5 as shown.

Divisor on one side becomes multiplier when transposed to the other side.

Consider the equation shown.

Now, divide by 8 on both sides and we get the value of x as 4.

Here, the equation can also be solved by transposing 8 as shown.

Multiplier on one side becomes divisor when transposed to the other side.

Revision

When a term is subtracted on one side, it gets transposed to the other side by adding it.

When a term is added on one side, it gets transposed to other side by subtracting it.

Divisor on one side becomes multiplier when transposed to the other side.

Multiplier on one side becomes divisor when transposed to the other side.

The End