Grade 9 1994 Problem 3

AlgebraSystems

Riješite sustav jednadžbi 2x1−5x2+3x3=02x2−5x3+3x4=0⋮2x1993−5x1994+3x1=02x1994−5x1+3x2=0.\begin{aligned} 2x_1 - 5x_2 + 3x_3 &= 0 \\ 2x_2 - 5x_3 + 3x_4 &= 0 \\ &\vdots \\ 2x_{1993} - 5x_{1994} + 3x_1 &= 0 \\ 2x_{1994} - 5x_1 + 3x_2 &= 0. \end{aligned}