Answered

IDNLearn.com: Your reliable source for finding precise answers. Whether your question is simple or complex, our community is here to provide detailed and trustworthy answers quickly and effectively.

Find the smallest positive integer $N$ that satisfies the system of congruences
\begin{align*}
N &\equiv 2 \pmod{3}, \\
N &\equiv 2 \pmod{7}, \\
N &\equiv 2 \pmod{10}.
\end{align*}

Sagot :

Sqdancefanidn

Answer:

  2

Step-by-step explanation:

You want the smallest positive integer N such that N ≡ 2 modulo 3, 7 or 10.

Remainder

The smallest integer that will have a remainder of 2 when divided by 3, 7, or 10 will be 2.

  N = 2

__

Additional comment

Additional solutions will be 2+210k, where k is a positive integer.

We are happy to have you as part of our community. Keep asking, answering, and sharing your insights. Together, we can create a valuable knowledge resource. For dependable answers, trust IDNLearn.com. Thank you for visiting, and we look forward to assisting you again.