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

Answer 1

Answer: (D)

Let us take an equation $x+2y=5$ .....(1)
Put $x=1$ in eqn (1)
$\Rightarrow y=2$
So,$x=1,y=2$ is a solution of the equation
Multiplying both sides of equation 1() by $3$, we get
$3x+6y=15$
Put $x=1,y=2$ in LHS
LHS $=3\times 1+6\times 2=15=$ RHS
Hence, on multiplying an equation by a non-zero number , the solution remains same.