Solving Linear Congruence ax ≡ b (mod N)
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- Solve 7x+4≡3(mod9)7x+4\equiv 3\pmod{9}7x+4≡3(mod9).
- At a certain grocery store, cookies may be bought in boxes of 101010 or 212121. What is the minimum positive number of cookies that must be bought so that the cookies may be spl…
- Positive integers x,y,z≤100x,y,z \le 100x,y,z≤100 satisfy \begin{align*} 1099x+901y+1110z &= 59800 \ 109x+991y+101z &= 44556 \end{align*} Compute 10000x+100y+z10000x+100y+z10000…