Question

Which of the following is true regarding the solution of a linear equation if we multiply or divide both sides of the equation with a non-zero number?

• A. It changes
• B. It remains the same
• C. It only changes in the case of multiplication
• D. It only changes in the case of division

Answer 1

The correct option is B It remains the same

By property, 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.

For example:
$2x+3y=9$ ____(i)
Multiplying equation (i) by 2 both the sides, we get
$2\times (2x+3y)=2\times 9$
$4x+6y=18$ ___(ii)
Equation (i) is equivalent to equation (ii).