UPSKILL MATH PLUS

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Discuss the nature of solutions of the following system of equations.
 
(i) \(x + 2y - z = 6\); \(-3x - 2y + 5z = -12\); \(x - 2z = 3\)
 
Answer:
 
The system has .
 
(ii) \(2y + z = 3(-x + 1)\); \(-x + 3y - z = -4\); \(3x + 2y + z = \frac{-1}{2}\)
 
Answer:
 
The system has .
 
(iii) \(\frac{y + z}{4} = \frac{z + x}{3} = \frac{x + y}{2}\); \(x + y + z = 27\)
 
Answer:
 
The system has .