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## Main Question or Discussion Point

the system:

24x + 11y= 4 (mod 35)

5x + 7y= -13 (mod 35)

is solved to get:

-113y= 111 (mod 35)

113x= 171 (mod 35)

which gives: (17,8).

should there not be more solutions?

24x + 11y= 4 (mod 35)

5x + 7y= -13 (mod 35)

is solved to get:

-113y= 111 (mod 35)

113x= 171 (mod 35)

which gives: (17,8).

should there not be more solutions?