Math

posted by .

Find the value of x:

20x ≡ 9 (mod 15)

  • Math -

    Let x=1
    20 ≡ 5 (mod 15)

    As x increases by 1, the residue increases by 5, so no integer value of x satisfies the equation.

    If you allow rational values for x, then it is easy to find many such x's: 9/20 comes to mind first...

Respond to this Question

First Name
School Subject
Your Answer

Similar Questions

  1. math

    how do we find the least residue of 1789 (mod 4), (mod 10), (mod 101)
  2. math

    how do we find the least residue of 1789 (mod 4), (mod 10), (mod 101)
  3. math

    Which two is true as i'm confused A) 3+7 ß 10 mod 15 17 + 9 ß 4 mod 21 12 + 14 ß 0 mod 26 B) 4+11 ß 2 mod 13 9+7 ß 4 mod 12 13 + 13 ß 1 mod 25 C) 5+9 ß 4 mod 10 16 + 13 ß 3 mod 26 12 + 7 ß 6 mod 14 d)2+7 …
  4. Math

    Which Statements of congruence are true and which are false and why?
  5. math

    Which Statements of congruence are true and which are false and why?
  6. Discrete Mathematics

    Prove that if n is an odd positive integer, then 1 ≡ n(power of 2) (mod 4).
  7. Math

    Using 10^n = x (mod 9). Given that d=2935107 =2*10^6 + 9*10^5 + 3*10^4 + 5*10^3 + 1*10^2 + 0*10^1 + 7^10^0 Then d = kx (mod 9). What is the smallest positive value of k?
  8. Math

    Which Statements of congruence are true and which are false and why?
  9. DISCRETE MATHS

    Prove that if n is an odd positive integer, then 1 ≡ n2 (mod 4).
  10. Math

    Find all numbers $r$ for which the system of congruences: x == r mod 6 x == 9 mod 20 x == 4 mod 45 has a solution.

More Similar Questions