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An equation must have 1, 0, or infinitely many solutions.

So if you find 1 and there is another, you have know it has infinitely many.

For example. 0x+2=2

I solve this and the equations become 0x=0

Now, 1 is a solutions, but so is 2. I now know there are infinitely many.

How about 0x+2=3. No solution

and 2x+2=4, has one solution.

I put those two here so you might try other numbers and see that they have no solutions and one solution.

A special type of equation known as an identity is an equation that holds for all numbers. This means it has infinitely many solutions.

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Q: How do you know when an equations has infinitly many solutions?
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