Question

Solve the equation $x+4=5\frac{1}{4}$ by the systematic method.

Answer 1

Solving by Systematic Method

According to the rule for solving an equation by systematic method. If we subtract the same quantity from both sides of the equation, the equality remains unchanged ,i.e, if $x=a$, then $x-m=a-m$.

We have the equation $x+4=5\frac{1}{4}$

$\Rightarrow$ $x+4=5\frac{1}{4}$

$\Rightarrow$ $x+4=\frac{21}{4}$

$\Rightarrow$ $x+4-4=\frac{21}{4}-4$ [Subtracting $4$ from both sides of the equation ]

$\Rightarrow$ $x=\frac{21-16}{4}$

$\Rightarrow$ $x=\frac{5}{4}$

$\Rightarrow$ $x=1\frac{1}{4}$

$\therefore$ $x=1\frac{1}{4}$ is the solution of the equation

Hence, the solution of the equation $x+4=5\frac{1}{4}$ is $x=1\frac{1}{4}$ .