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Explain the applications of transposition in simple equation ?
Applications of transposition in simple equations :
We can use transposition method in application of simple equation.
When a term moves (transposes) to the other side of the equation, its operation changes to the inverse operation.
The inverse operation of an addition is a subtraction. Multiplication and division are inverse operations.
- An addition changes to a subtraction
$x + 1 = 3$
$+1$ moves to right side and becomes $-1$
$ x = 3 – 1$
- A subtraction changes to an addition
$x – 2 = 5$
$-2$ moves to right side and becomes $+2$
$ x = 5 +2$
- A multiplication changes to a division.
$x\times 3 = 4$
3 will be in denominator, when it comes to he opposite side
$x = \frac{4}{3}$
- A division changes to multiplication.
$\frac{x}{7} = 1$
7 will be in numerator when it comes to the opposite side
$x = 1\times 7$
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