Consider the system of linear congruences 4x +9y= 2 (mod 11) 2x+2y = 7 (mod 11) V Suppose that the pair of integers (xo, yo) is a solution, where xo, yo are least residues modulo 11, then enter/²+y. Round to two decimal places. Type your answer...

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
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Need help with these two Difficult Intro to Elementary Number Theory Homework problems. Make sure your handwriting is neat and readable.

 

Consider the system of linear congruences
4x +9y2 (mod 11)
2x+2y= 7 (mod 11)
Suppose that the pair of integers (co, yo) is a solution, where xo, yo are least residues modulo 11, then enterx² + y2. Round to two decimal places.
Type your answer...
Transcribed Image Text:Consider the system of linear congruences 4x +9y2 (mod 11) 2x+2y= 7 (mod 11) Suppose that the pair of integers (co, yo) is a solution, where xo, yo are least residues modulo 11, then enterx² + y2. Round to two decimal places. Type your answer...
Let a, b be positive integers. How many multiples of b are there in the sequence
Prove your answer.
a, 2a, 3a,
ba?
..."
Transcribed Image Text:Let a, b be positive integers. How many multiples of b are there in the sequence Prove your answer. a, 2a, 3a, ba? ..."
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