For all integers a, b, c, m with m > 0 and c > 0, if ac ≡ bc (mod m), then a ≡ b (mod m
Question
Solution 1
The statement is true. Here's why:
The congruence ac ≡ bc (mod m) means that m divides ac - bc.
We can factor out c from the expression to get c(a - b). So, m divides c(a - b).
Since m > 0 and c > 0, we know that the greatest common divisor (gcd) of m and c is a positive integer.
If the gcd of Knowee AI StudyGPT is a powerful AI-powered study tool designed to help you to solve study prob
Knowee AI StudyGPT is a powerful AI-powered study tool designed to help you to solve study problem.
Knowee AI StudyGPT is a powerful AI-powered study tool designed to help you to solve study problem.
Knowee AI StudyGPT is a powerful AI-powered study tool designed to help you to solve study problem.
Knowee AI StudyGPT is a powerful AI-powered study tool designed to help you to solv
Similar Questions
For all integers a, b, c, m with m > 0 and c > 0, if ac ≡ bc (mod m), then a ≡ b (mod m)
or all integers a, b, c, m with m > 0 and c > 0, if a ≡ b (mod m) then ac ≡ bc (mod mc)
For all integers a, b, c, m with m > 0 and c > 0, if ac ≡ bc (mod m), then a ≡ b (mod m
Context: If a³+b³+c³–3abc=0, then find the value of (a²/bc+b²/ac–3).(a) –c²/ab(b) –c²/bc(c) –c³/ba(d) –c/a Answer question
If average of a,b,c is m and (ab+bc+ca)=0, then the average of a2,b2,c2 is :m23m29m2m