2. Solve the system of congruence 3x +7y = 10 ( mod 16) (5x + 2y = 9(mod 16) .

Linear Algebra: A Modern Introduction
4th Edition
ISBN:9781285463247
Author:David Poole
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Chapter6: Vector Spaces
Section6.2: Linear Independence, Basis, And Dimension
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Solve the system of congruence. please make your solution computerize

2. Solve the system of congruence
3x + 7y = 10 ( mod 16)
(5x +2y = 9 (mod 16) .
Hint: Eliminate x by multiplying each congruence a suitable constant and then adding them to form a
linear congruence containing only y as a variable. Likewise, eliminate y by multiplying each congruence
a suitable constant and then adding them to form a linear congruence containing only x as a variable.
Transcribed Image Text:2. Solve the system of congruence 3x + 7y = 10 ( mod 16) (5x +2y = 9 (mod 16) . Hint: Eliminate x by multiplying each congruence a suitable constant and then adding them to form a linear congruence containing only y as a variable. Likewise, eliminate y by multiplying each congruence a suitable constant and then adding them to form a linear congruence containing only x as a variable.
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