What conditions must the constants a, 3, and y satisfy for the following system + 2y 2x + 5y 2x + 7y + 3z = + 3z = 3z = a + 7 to be consistent? 1. a = 3 and any value for y. 2. a = -y and any value for 3. 3. The value for x is not unique and a = y – B. 4. The value for y is unique and a = y – B. 5. The values for x, y and z are unique and : -5a + 33.

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A: Please see the below picture for detailed solution. 

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