Posted by Francesca on Tuesday, October 11, 2011 at 7:55pm.
Find the value of x:
20x ≡ 9 (mod 15)

Math  Steve, Wednesday, October 12, 2011 at 4:58am
Let x=1
20 ≡ 5 (mod 15)
As x increases by 1, the residue increases by 5, so no integer value of x satisfies the equation.
If you allow rational values for x, then it is easy to find many such x's: 9/20 comes to mind first...
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