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Math Help - solving a system of simultaneous linear congruent equations..

  1. #1
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    solving a system of simultaneous linear congruent equations..

    Hi please help me in solving this,

    25=4x+y(mod 26) {25 is congruent to (4x+y) modulo 26}
    3=19x+y(mod 26)
    where gcd (x,26)=1

    or
    25=4x+y(mod 26)
    24=19x+y(mod 26)
    where gcd (x,26)=1

    Thanks in advance...
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  2. #2
    MHF Contributor chiph588@'s Avatar
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    Quote Originally Posted by strings View Post
    Hi please help me in solving this,

    25=4x+y(mod 26) {25 is congruent to (4x+y) modulo 26}
    3=19x+y(mod 26)
    where gcd (x,26)=1

    or
    25=4x+y(mod 26)
    24=19x+y(mod 26)
    where gcd (x,26)=1

    Thanks in advance...
    Theorem:  a\equiv b\mod{n} and  c\equiv d\mod{n}\implies a-c\equiv b-d\mod{n}
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