What are the 3 solutions? I'm stuck! 6x=15(mod 21)

a=6,m=21,b=15 d=gcd(6,21)=3 solns.
6x=15(mod 21) 2x=5(mod 7)
21=6(3)+3
6+3(2)+0
0=6-6
6-(21-6(3))=3
6-21+18=3
6( )-21()=3

(21-6(3))(15)-6=3 ???????

1 answer

6x = 21y + 15 for some y.
or,

2x = 7y + 5
since 2x is even, y must be odd.

y x
1 6
3 13
5 20
7 27
. . .
any number x of the form 2x = 7(2k+1)+5 is a solution, since

2x = 14k+7+5 = 14k+12
6x = 42k + 36
and 36 = 15 mod 21
Similar Questions
    1. answers icon 0 answers
  1. Let f(x)=x+2 Ix-3I and g(x)=3x-1Find all solutions to the equation f(g(x))=-4x So this is what I did... (3x-1)+2 I(3x-1)-3I=-4x
    1. answers icon 3 answers
  2. What are the approximate solutions of 2x^2 - x + 10 = 0?A. -2, 2.5 B. -1.97, 2.47 C. -2.5, 2 D. no solution Please help im
    1. answers icon 7 answers
  3. I am stuck...find the real solutions of the equation x to the 4th power minus 20x squared plus 64 equals 0
    1. answers icon 1 answer
more similar questions