A value of x satisfying 6x 5 ±od7 is Option 1: -5 Option 2: 3 Option 3: -3 Option 4: 4

Answer: -5. Solution: Since 6 -1 ±od 7, the congruence becomes -x 5, that is x -5 2 ±od 7. Checking the options, x=-5 works because 6(-5) = -30 and -30 - 5 = -35 is divisible by 7.

Arithmetic

Numericals

Medium

applied

A value of $x$ satisfying $6x \equiv 5 \pmod{7}$ is

-5

-3

✅ Correct Option: 1

Since $6\equiv -1 \pmod 7$ , the congruence becomes $-x\equiv 5$ , that is $x\equiv -5 \equiv 2 \pmod 7$ .

Checking the options, $x=-5$ works because $6(-5) = -30$ and $-30 - 5 = -35$ is divisible by 7.

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Solution

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A value of $x$ satisfying $6x \equiv 5 \pmod{7}$ is