To solve: The congruence 2-x\equiv 8(\bmod 9)

ringearV

ringearV

Answered question

2021-03-22

To solve:
The congruence 2x8(bmod9)

Answer & Explanation

pierretteA

pierretteA

Skilled2021-03-24Added 102 answers

To solve the congruence 2x8(bmod9), try each of the numbers
0, 1,2,3,4,5, 6,7, and 8 to see which one solves the congruence.
For x=0
208(bmod9), but it is not true since 202(bmod9). So, x = 0
is not the solution of the given congruence.
For x=1
218(bmod9), but it is not true since 211(bmod9). So,
x= 1 is not the solution of the given congruence.
For x=2
228(bmod9), but is not true since 220(bmod9). So, x = 2
is not the solution of the given congruence.
For x =3
238(bmod9), and it is true since 18(bmod9). So, x = 3 is
the solution of the given congruence.
Thus, x = 3s the solution of the given congruence
2x8(bmod9)
Final Statement:
Therefore, the solution of the congruence 2x8(bmod9) is x = 3.

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