Consider the system of equation
x + 2y - z = 6
2x + 3y + z = 3
3x + 5y + z = then system has
Infinite solutions, if = 0, = 9
No solution, if 0, = 9
Unique solution, if 0, 9
All of these
As we have learned
Inconsistent system of linear equation -
If the system of equations has no solutions
-
If = 0, then 3rd equation is I + II, so, for infinite solutions = 6 + 3
Similarly other cases.
Option 1)
Infinite solutions, if = 0, = 9
Option 2)
No solution, if 0, = 9
Option 3)
Unique solution, if 0, 9
Option 4)
All of these
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