#### Question:

Explain how to create an equation with infinitely many solutions.

Posted By Admin @ September 03, 2022

Explain how to create an equation with infinitely many solutions.

**Answer:**

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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