Question

Solve the equation $7x=28$ by the trial and error method

Answer 1

Solving the equation

A statement of equality which involves one or more variables is called an equation.

Given equation is $7x=28$

RHS of the equation is a whole number .

In LHS, a whole number $7$ is multiplied with a number $x$.

Thus we need to guess several values of to find the values of LHS that becomes equal to RHS as shown in the following table.

$x$	LHS$\mathbf{=}\mathbf{7}\mathit{x}$	RHS$\mathbf{=}\mathbf{28}$
$1$	$7\times 1=7$	$28$
$2$	$7\times 2=14$	$28$
$3$	$7\times 3=21$	$28$
$4$	$7\times 4=28$	$28$

For $x=4$,LHS=RHS.

Thus $x=4$ is the solution of the equation.

Hence, the solution of the equation $7x=28$ is $x=4$