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Question 1.

[tex]6x + 3 \equiv 1 mod 10[/tex]

I added [tex]8 \equiv 8 mod 10[/tex]

and got

[tex]6x + 11\equiv 9 mod 10[/tex]

then subtracted [tex]11 \equiv 1 mod 10[/tex]

and have

[tex]6x \equiv 8 mod 10[/tex], but am stuck here. Any ideas?

Question 2.

[tex]x^2 \equiv 1 mod 21[/tex]

This one I am lost on. Maybe subtract 1, and then use (x+1)(x-1), but I am not feeling that way either. Thoughts? Danke!

[tex]6x + 3 \equiv 1 mod 10[/tex]

I added [tex]8 \equiv 8 mod 10[/tex]

and got

[tex]6x + 11\equiv 9 mod 10[/tex]

then subtracted [tex]11 \equiv 1 mod 10[/tex]

and have

[tex]6x \equiv 8 mod 10[/tex], but am stuck here. Any ideas?

Question 2.

[tex]x^2 \equiv 1 mod 21[/tex]

This one I am lost on. Maybe subtract 1, and then use (x+1)(x-1), but I am not feeling that way either. Thoughts? Danke!

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