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I encountered a set of linear equations with modulo in only $2$ variables

$$(a_{11}x + a_{12}y) \mod 8 = b_1$$ $$(a_{21}x + a_{22}y) \mod 8 = b_2$$

In the case of simple equations without modulo, the solution of $Ax=b$ is $x=A^{-1}b$, but how to handle this modulo? Any clue or pointers will be very helpful.

2 Answers 2