Question

What is an example of a two step equation with no solution?

Answer 1

Hint: An equation is said to have a solution if upon solving the equation there is some value of x which satisfies the equation. If we have to give an equation which does not have a solution we can take any equation by chance and write that equation and check if there is a solution. If there is a solution we take another equation, the equation should be somewhat big enough so that it takes two steps to solve the particular equation. The equation must have a variable . Another easy way can be to take an unequal equation say
 $ 2 = 3 $ And then keep on adding terms to it and it becomes a satisfactorily big equation

Complete step by step solution:
An equation of any type is said to have a solution if upon solving the equation there is some value of x
Which satisfies the equation. If we have to give an equation which does not have a solution we can take any equation by chance and write that equation and check if there is a solution to that equation.
The example of such an equation is ,
 $ x + 2 = \dfrac{1}{3}\left( {3x + 3} \right) $
Which we can see upon solving becomes,
 $ 3x + 6 = 3x + 3 $
Then we subtract $ 3x $ from both sides to get
 $ 6 = 3 $
Which is incorrect and hence this equation has no solution.

Note: An equation is said to have a solution if upon solving the equation there is some value of x which satisfies the equation to find out an equation which has no solution. We have to find an equation that is opposite to the above definition.