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Write a proof by contradiction of the following. Let x and y be integers. If x and y satisfy the equation 3x + 5y = 159 then at least one of x and y is odd. Let x and y be integers that satisfy the equation 3x + 5y = 159. Suppose, to the contrary, that both x and y are even. Then x = 1592- for some integer k₂. Then 159 = 3x + 5y = + 1 is also ---Select--- . This contradicts Axiom 1.2. for some integer k₁ and (3k₁ + 5k₂) is ---Select--- But

Write a proof by contradiction of the following. Let x and y be integers. If x and y satisfy the equation 3x + 5y = 159 then at least one of x and y is odd. Let x and y be integers that satisfy the equation 3x + 5y = 159. Suppose, to the contrary, that both x and y are even. Then x = 1592- for some integer k₂. Then 159 = 3x + 5y = + 1 is also ---Select--- . This contradicts Axiom 1.2. for some integer k₁ and (3k₁ + 5k₂) is ---Select--- But

Advanced Engineering Mathematics
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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answer the following, The choices are even / odd

Write a proof by contradiction of the following. Let x and y be integers. If x and y satisfy the equation 3x + 5y = 159 then at least one of x and y is odd. Let x and y be integers that satisfy the equation 3x + 5y = 159. Suppose, to the contrary, that both x and y are even. Then x = y = 159 = 2 for some integer k₂. Then 159 = 3x + 5y = + 1 is also ---Select--- This contradicts Axiom 1.2. = for some integer k₁ and (3k₁ + 5k₂) is ---Select--- . But
Transcribed Image Text:Write a proof by contradiction of the following. Let x and y be integers. If x and y satisfy the equation 3x + 5y = 159 then at least one of x and y is odd. Let x and y be integers that satisfy the equation 3x + 5y = 159. Suppose, to the contrary, that both x and y are even. Then x = y = 159 = 2 for some integer k₂. Then 159 = 3x + 5y = + 1 is also ---Select--- This contradicts Axiom 1.2. = for some integer k₁ and (3k₁ + 5k₂) is ---Select--- . But
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