Question

Solve the equation $100x=400$ by the systematic method.

Answer 1

Solving the equation by Systematic Method

According to the rules for solving an equation by systematic method.

If we divide both the sides of the equation by same non-zero quantity, the equality remains unchanged ,i.e, if $x=a$, then $\frac{x}{m}=\frac{a}{m}$.

We have the equation $100x=400$

$\Rightarrow$ $100x=400$

$\Rightarrow$ $\frac{100x}{100}=\frac{400}{100}$ ; [Dividing by $100$ on both sides of the equation ]

$\Rightarrow$ $x=\frac{400}{100}$

$\Rightarrow$ $x=4$

$\therefore$ $x=4$ is the solution of the equation

Hence the solution of the equation $100x=400$ is $x=4$