Consider the following system of equations :x + 2y $-$ 3z = a2x + 6y $-$ 11z = bx $-$ 2y + 7z = c,where a, b and c are real constants. Then the system of equations :

Question

Consider the following system of equations :

x + 2y $-$ 3z = a

2x + 6y $-$ 11z = b

x $-$ 2y + 7z = c,

where a, b and c are real constants. Then the system of equations :

has no solution for all a, b and c

has a unique solution when 5a = 2b + c

has infinite number of solutions when 5a = 2b + c

has a unique solution for all a, b and c

Solution

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