Question

Any term of an equation may be transposed from one side of the equation to the other side of the equation by changing the___________of the term.

Answer 1

The process of moving a term from one side of the equation to the other side is called transposing. It is the same as adding and subtracting a number from both sides of the equation.

Example:

Solve $5x+9=19$

Transposing $9$ to the other side we get,

$5x=19–9$ $[+9\mathrm{becomes}-9]$

$5x=10$

Transposing $5$ to the other side we get,

$x=\frac{10}{5}=2$ $[\mathrm{Multiplication}\mathrm{by}5\mathrm{becomes}\mathrm{division}\mathrm{by}5]$

Hence, Any term of an equation may be transposed from one side of the equation to the other side of the equation by changing the sign of the term.