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Question

Solve the following system of linear equations by determinant method
x+y+3z=4;2x+2y+6z=7;2x+y+z=10.

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Solution

By determinant method , the value of D is ∣ ∣113226211∣ ∣=0
which implies the value of D=0

Observe first 2 equations,
x+y+3z=4 and x+y+3z=72
They differ only in the constant term. It shows that there is no solution for given set of equations

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