Question

Solve the equation $x-5=2x-3$ 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 $x-5=2x-3$ and the variable is $x$

Here we need to take several values of $x$ and find the values of both LHS and RHS as shown in the table below.

At a particular value of $x$ LHS becomes equal to RHS and that will be the solution of the equation.

$\mathit{x}$	LHS$\mathbf{=}\mathit{x}\mathbf{-}\mathbf{5}$	RHS$\mathbf{=}\mathbf{2}\mathit{x}\mathbf{-}\mathbf{3}$
$2$	$2-5=-3$	$2\times 2-3=1$
$1$	$1-5=-4$	$2\times 1-3=-1$
$0$	$0-5=-5$	$2\times 0-3=-3$
$-1$	$-1-5=-6$	$2\times \left(-1\right)-3=-5$
$-2$	$-2-5=-7$	$2\times \left(-2\right)-3=-7$

For $x=-2$ ,LHS=RHS.

Thus $x=-2$ is the solution of the equation.

Hence the solution of the equation $x-5=2x-3$ is $x=-2$