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  3. solve these linear equations over z5 2x+3y =4 3x+y

Solve these linear equations over Z5 2x+3y =4 3x+y=2 The answer is (1,4) as unique solution, please kindly explain the...

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Question

Basic Math

Solve these linear equations overZ5

2x+3y =4

3x+y=2

The answer is (1,4) as unique solution, please kindly explainthe reasons and show your work, much appreciated!

Answer & Explanation Solved by verified expert
3.5 Ratings (374 Votes)
Given linear equations are 2x3y4i3xy2iiWe know that in Z5 system we represent numbers bythe rule ab remainder part of ab5Therefore the given equations can be written as 2x3y4mod5iii3xy2mod5ivNow multipling    See Answer
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