MathDB
IMO LongList 1967, Bulgaria 6

Source: IMO LongList 1967, Bulgaria 6

December 16, 2004
linear algebramatrixalgebrasystem of equationsIMO ShortlistIMO Longlist

Problem Statement

Solve the system of equations: x+y+1x=6x+y+1+1y=4. \begin{matrix} |x+y| + |1-x| = 6 \\ |x+y+1| + |1-y| = 4. \end{matrix}