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explain how to identify whether an equation has no solution, or infinitely many solutions?

 Oct 7, 2014

Best Answer 

 #2
avatar+130514 
+5

Infinite solutions (example)

3x = 3x

Note that any "x" value will make both sides equal

No solutions (example)

3x + 6 = 3x + 7

Note....adding 6 to something can never be equal to adding 7 to the same thing !!!

One solution (example)

3x = 6

Only one value of x "works"  (i.e., 2  !!!)

Hope that helps !!

 

 Oct 7, 2014
 #1
avatar
+5

No solution would be if the final answer is incorrect. For example, 2=3

Infinite solutions is if the final answer is correct with no variables. For example, 2-2

 Oct 7, 2014
 #2
avatar+130514 
+5
Best Answer

Infinite solutions (example)

3x = 3x

Note that any "x" value will make both sides equal

No solutions (example)

3x + 6 = 3x + 7

Note....adding 6 to something can never be equal to adding 7 to the same thing !!!

One solution (example)

3x = 6

Only one value of x "works"  (i.e., 2  !!!)

Hope that helps !!

 

CPhill Oct 7, 2014

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