Determine all solutions to the system1w + 1x + 1y + 1z = 42w + 1x + 7y + 1z = 73w + 5x + 2y + 4z = 9

4w + 1x + 3y + 4z = 6

Given that all calculations are performed in the field <Z7, +, •>. Make sure your final solution is complete. How many solutions do you find here?

 
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