1) Find a solution – if possible – for each of the following two congruences. If for one of the congruences there is no solution – explain why. (i) 10X + 12Y – 8Z = 14 mod 8; and - (ii) 3X – 15Y + 24Z = 13 mod 81.

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1) Find a solution – if possible – for each of the following two congruences. If
for one of the congruences there is no solution – explain why.
(i) 10X + 12Y – 8Z = 14 mod 8; and
-
(ii) 3X – 15Y + 24Z = 13 mod 81.
Transcribed Image Text:1) Find a solution – if possible – for each of the following two congruences. If for one of the congruences there is no solution – explain why. (i) 10X + 12Y – 8Z = 14 mod 8; and - (ii) 3X – 15Y + 24Z = 13 mod 81.
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