Solve for x: 5x + 10 = 2x + 7 (mod 20)?

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Solve for x: 5x + 10 = 2x + 7 (mod 20)?

Any help would be appreciated. I'm no good with modular arithmetic

2007-03-03 13:47:30 · 4 answers · asked by CompEngineer 1 in Science & Mathematics ➔ Mathematics

4 answers

this is 5x + 10 = 2x+7 + 20n
asd mod 20

so 3x + 3 = 20n

or 3(x+1) = 20n
or x +1 -= 20/3 n or 20 m as 3 is not a factor of 20

so x+1 = 20 m

x = 20 m -1 = -1 mod 20 or 19 mod 20

2007-03-05 03:24:54 · answer #1 · answered by Mein Hoon Na 7 · 0⤊ 1⤋

relatively simple sir. group your like terms across the equal sign. 5x -2x = 7 -10
3x=-3
x=-1

2007-03-03 21:51:01 · answer #2 · answered by Chubbs20 2 · 0⤊ 0⤋

5x-2x=7-10
3x=-3
x=-1

2007-03-03 21:51:37 · answer #3 · answered by steaua 3 · 0⤊ 0⤋

x= -1 is what i got.

2007-03-03 21:56:31 · answer #4 · answered by Anonymous · 0⤊ 1⤋