Question

If we multiply or divide both sides of a linear equation with a non-zero number, then the solution of the linear equation:

• A. Changes
• B. Remains the same
• C. Changes in case of multiplication only
• D. Changes in case of division only.

Answer 1

The correct option is B

Remains the same

Explanation for the correct option :

Option$\left(B\right)$: Remains the same

If we multiply or divide both sides of a linear equation with a non-zero number, then the solution of the linear equation remains the same.

Let us understand this better with the help of an example

let us assume that the linear equation be $x+3y=4$

Here if we substitute $x=1$,we will get $y=1$

So , $x=1$and $y=1$ is a solution of the above equation

Further, if we multiply both sides by $2$ , the equation becomes $2x+6y=8$

On substituting $x=1$and $y=1$,

$\Rightarrow 2\left(1\right)+6\left(1\right)=8$

So , we can observe that the solution remains the same after multiplication on both sides

Hence, option $\left(B\right)$ is the correct option.