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babaea123

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Feb 18, 2009
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How do you know when an equation has infinitely many solutions? How do you know when an equation has no solution?
 
babaea123 said:
How do you know when an equation has infinitely many solutions?
An equation with infinitely many solutions is called an identity. When you try to solve it for the variable, you end up with a true statement, regardless of the variable, something like 3 = 3.

How do you know when an equation has no solution?
If there is no solution, you end up with a false statement, something like 2 = 5.
 
babaea123 said:
How do you know when an equation has infinitely many solutions?
Also an equation with 2 variables, like x + y = 2
1 + 1 = 2
-1 + 3 = 2
1000 - 998 = 2 ....get it?
 
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