Description
Explain why a solution does not exist for the following systems of congruences. Your work should include reduction to a single equation and the greatest common divisor.
(1) z ≡ 1 (mod 8)
z ≡ 4 (mod 10)
(2) w ≡ 3 (mod 10)
w ≡ 9 (mod 15)
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