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# Given that k is a positive integer less than 6, how many values can k take on such that has no solutions in x?

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Given that k is a positive integer less than 6, how many values can k take on such that $$3x \equiv k \pmod{6}$$ has no solutions in x?

Feb 23, 2022

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If x= 0 what is k

if x=1 what is k

If x=2 what is k

if x=3 what is k

If x= 4 what is k

if x=5 what is k

If x= 6 what is k

if x=7 what is k

If x= 8 what is k

if x=9 what is k

etc

What have you found

Which values is it posible for k to take

Can you finish it now ?

Feb 25, 2022