COMEDK · Maths · 17. Mathematical Reasoning
If \(3 x \equiv 5(\bmod 7)\), then
- A \(x \equiv 2(\bmod 7)\)
- B \(x \equiv 3(\bmod 7)\)
- C \(x \equiv 4(\bmod 7)\)
- D None of these
Answer & Solution
Correct Answer
(C) \(x \equiv 4(\bmod 7)\)
Step-by-step Solution
Detailed explanation
Given, \(3 x \equiv 5(\bmod 7)\) \[ \begin{array}{cc} \Rightarrow & 3 x-5=0(\bmod 7)=\frac{7}{3 x-5} \\ \Rightarrow & 3 x-5=7 P, \text { where } P \in Z \\ \Rightarrow & x \equiv 4(\bmod 7) \end{array} \]
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