Concept Check - I know when an equation has no solution...

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How do you know when an equation has infinite solutions? I know an equation has infinite solutions when both sides have the same equation. For  example 5x-2 = 5x-2 Well no matter what you put for x, the answer will be the same on both sides. Therefore,  this is an equation that has infinite solutions.  How do you know when an equation has no solution?
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Unformatted text preview: I know when an equation has no solution when both sides do NOT equal the same. An easy example would be 4x = 4x + 7 After the variables are cancelled out it would look like this 0 = 7. That is not a true statement. Therefore, there is no solution to this equation. Infinite solution means everything works No solution means nothing works...
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