# Explain how to create an equation with infinitely many solutions.

Posted By Admin @ September 03, 2022

#### Question:

Explain how to create an equation with infinitely many solutions.

Start with a general equation of the form and then add or subtract same value from both the sides of the equation. You will get the desired equation with infinitely many solution. Here, stands for any variable value.

Step-by-step explanation:

It is asked to create an equation with infinitely many solutions.

Let's start with any equation in which, left and right hand sides are same.

Let the equation be, Now, add or subtract a unique value on or from the both sides of the equation. Suppose, you are subtracting 6 from both sides of the equation.

Now, the equation will be, The above equation can also be written as, which is true for every value of .

So, the above the equation has infinitely many solutions as it is true for every value of .

This way, you can create an equation containing infinitely many solutions.

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