Question: This system of n linear equations with n unknowns, said the Great Mathematician, has a curious property. Good heavens! said the Poor Nut, What is

"This system of n linear equations with n unknowns," said the Great Mathematician, "has a curious property."
"Good heavens!" said the Poor Nut, "What is it?"
"Note," said the Great Mathematician, "that the constants are in arithmetic progression."
"It's all so clear when you explain it!" said the Poor Nut. "Do you mean like 6x + 9y = 12 and 15x + 18y = 21?"
"Quite so," said the Great Mathematician, pulling out his bassoon. "Indeed, the system has a unique solution. Can you find it?"
"Good heavens!" cried the Poor Nut, "I am baffled."
Are you?

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