Answer to Question #314958 in Discrete Mathematics for Snave

Question #314958

11•j=1(mod 4). Find j

Expert's answer

Let us solve "11\\cdot j=1(\\mod 4)." This congruence is equivalent to "(11-12)\\cdot j=1(\\mod 4)," and hence "- j=1(\\mod 4)." We conclude that "j=-1(\\mod 4)=3(\\mod 4)." Therefore, "j=3+4t," where "t\\in \\Z."

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