Consider the system of linear equations :x1+2x2+x3=32x1+3x2+x3=33x1+5x2+2x3=1The system has

Adding the first two equations and subtracting the third from the sum, we obtainx1+2x2+x3+2x1+3x2+x3−3x1+5x2+2x3=3+3−1⇒0=5Thus, the system of equations has no solution.