MathCastle
Number TheoryEasyDiophantine Equations

Diophantine Equations · Easy problem

One solution of 3x+5y=13x + 5y = 1 is x=2x = 2, y=−1y = -1. Every solution has the form x=2+5tx = 2 + 5t, y=−1−3ty = -1 - 3t for an integer tt. Find yy in the solution with x=17x = 17.