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Question

The system of equations x + y + z =2, 3x y + 2z =6 and 3x + y + z =18 has

A
A unique solution
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B
No solutions
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C
An infinite number of solutions
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D
Zero solution as the only solution
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Solution

The correct option is A A unique solution
Given system of equation can be written as 111312311xyz = 2618
On solving the above system we get the unique solution x = -10, y = -4, z = 16.

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