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Find solution of system

Source: Kosovo TST 2015 Q3

March 30, 2015
algebrasystem of equations

Problem Statement

It's given system of equations a11x1+a12x2+a1nxn=b1a_{11}x_1+a_{12}x_2+a_{1n}x_n=b_1 a21x1+a22x2+a2nxn=b2a_{21}x_1+a_{22}x_2+a_{2n}x_n=b_2 .......... an1x1+an2x2+annxn=bna_{n1}x_1+a_{n2}x_2+a_{nn}x_n=b_n such that a11,a12,...,a1n,b1,a21,a22,...,a2n,b2,...,an1,an2,...,ann,bn,a_{11},a_{12},...,a_{1n},b_1,a_{21},a_{22},...,a_{2n},b_2,...,a_{n1},a_{n2},...,a_{nn},b_n, form an arithmetic sequence.If system has one solution find it
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