Question

Solve the equation $7x-4=24$ 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 $7x-4=24$

RHS of the equation is $24$ .

In LHS, a whole number $4$ is subtracted from a number $7x$.

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

$\mathit{x}$	LHS$\mathbf{=}\mathbf{7}\mathit{x}\mathbf{-}\mathbf{4}$	RHS$\mathbf{=}\mathbf{24}$
$1$	$7\times 1-4=3$	$24$
$2$	$7\times 2-4=10$	$24$
$3$	$7\times 3-4=17$	$24$
$4$	$7\times 4-4=24$	$24$

For $x=4$ ,LHS=RHS.

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

Hence the solution of the equation $7x-4=24$ is $x=4$