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If 5x ≡ 10 (mod 15), what is the value of x?

Practice Questions

Q1
If 5x ≡ 10 (mod 15), what is the value of x?
  1. 0
  2. 1
  3. 2
  4. 3

Questions & Step-by-Step Solutions

If 5x ≡ 10 (mod 15), what is the value of x?
  • Step 1: Start with the equation 5x ≡ 10 (mod 15).
  • Step 2: To simplify, divide both sides of the equation by 5. This gives us x ≡ 2 (mod 3).
  • Step 3: The equation x ≡ 2 (mod 3) means that when x is divided by 3, the remainder is 2.
  • Step 4: Therefore, one possible value for x is 2.
  • Modular Arithmetic – Understanding how to solve equations in the context of modular arithmetic, including the properties of congruences.
  • Divisibility – Recognizing when it is valid to divide both sides of a congruence by a number, particularly in modular contexts.
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