Problem
NT-B1-M04-P004 Two Coprime Moduli
#4
★☆☆☆☆ Level 1 of 5
Solve the system \(x\equiv2\pmod3\), \(x\equiv1\pmod5\).
Search among \(2,5,8,11,\ldots\).
Numbers congruent to \(2\) modulo \(3\) are \(2,5,8,11,\ldots\). Among them, \(11\equiv1\pmod5\). Hence \(x\equiv11\pmod{15}\).
Basic system with coprime moduli.