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# System prepended metadata

title: Seatwork (Linear Congruences)

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# Seatwork (Linear Congruences)

Solve these linear congruences:

1. $56x +12 \equiv 3 \pmod {93}$
2. $13x + 3 \equiv 8 \pmod {51}$
3. $17x + 18 \equiv 5 \pmod {59}$ 
4. $1562x + 111 \equiv 2 \pmod {453}$

Solve these systems of linear congruences:

1. $$
   x \equiv 5 \pmod {6}\\
   x \equiv 3 \pmod {8}
   $$

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2. $$
   x \equiv 2\pmod {6}\\
   x \equiv 5\pmod {7}\\
   x \equiv 7\pmod {13}
   $$

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3. $$
   x \equiv 1\pmod {5}\\
   x \equiv 2\pmod {6}\\
   x \equiv 3\pmod {7}
   $$

   

