Question: Under what condition on the constants a, b, and c does the system have a unique solution? No solution? Infinitely many solutions? 2x = y

Under what condition on the constants a, b, and c does the system


2x = y + 3z = a x + 2y + z


have a unique solution? No solution? Infinitely many solutions?

2x = y + 3z = a x + 2y + z = b 7x + 4y + 9z = c

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