MathDB
B.Math(Hons.) Admission Test 2009 problem 6

Source:

April 9, 2012
number theory unsolvednumber theory

Problem Statement

Let a,b,c,da,b,c,d be integers such that ad−bcad-bc is non zero. Suppose b1,b2b_1,b_2 are integers both of which are multiples of ad−bcad-bc. Prove that there exist integers simultaneously satisfying both the equalities ax+by=b1,cx+dy=b2ax+by=b_1, cx+dy=b_2.
Back to ProblemsView on AoPS