Question: (a) Solve the system of equations. ax + y = a2 x + ay = 1 For what values of a does the system fail

(a) Solve the system of equations.
ax + y = a2
x + ay = 1
For what values of a does the system fail to have solutions, and for what values of a are there infinitely many solutions?
(b)Answer the above question for the system.
ax + y = a3
x + ay = 1

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