We can rewrite this equation as (b + d) (a + c)=(j + k)m (67) By the definition of congruence modulo m, this is the same as saying that a + c is congruent to b+d
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Solving linear congruences is analogous to solving linear equations in calculus Our first goal is to Reducing both sides of this equation modulo m tells us that
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We can rewrite this equation as (b + d) (a + c)=(j + k)m (67) By the definition of congruence modulo m, this is the same as saying that a + c is congruent to b+d
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to the equation ◦ Proof: If x is a solution to the congruence ax ≡ b (mod m), then there exists an integer k with ax−mk = b Since d = gcd(a, m) divides the
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