Consider the system of linear equation
x1 + 2x2 + x3 = 3
2x1 + 3x2 + x3 = 3
3x1 + 5x2 + 2x3 = 1
The system has
You need to eliminate one variable.
Subtract first equation from the second equation,
(ii) - (i): x1 + x2 = 0
Multiply second equation by 2 and then subtract third equation from it,
2 x (ii) - (iii): x1 + x2 = 5
The two lines are parallel, so there is no solution.
The correct option is B.