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(Solved): please solve in clear step-by-step details and explanations. thank you. 6. Find all solutions to the ...



6. Find all solutions to the following linear equations:
a. \( 9 x \equiv 12(\bmod 7) \)
b. \( 9 x+4 \equiv 12(\bmod 7) \)
c.

please solve in clear step-by-step details and explanations. thank you.

6. Find all solutions to the following linear equations: a. b. c.


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a. To find the solutions to the equation 9x ? 12 (mod 7), we need to find values of x that satisfy the congruence.

First, let's reduce the coefficients and the right-hand side to their smallest positive residues modulo 7:
9 ? 2 (mod 7)
12 ? 5 (mod 7)

The...
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