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If x and y are integers, then the equation 5 x + 19 y = 64 has
- a)no solution for x < 300 and y < 0
- b)no solution for x > 250 and y > -100
- c)a solution for 250 < x < 300
- d)a solution for - 59 < y < - 56
Correct answer is option 'C'. Can you explain this answer?
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Verified Answer
If x and y are integers, then the equation 5 x + 19 y = 64 hasa)no sol...
5x+19y=64 We see that, if y=1, we get an integer solution for x=9, now if y changes (increases or decrease) by 5.
Looking at options, if x=256 we get y=64. Using these values we see the option 1,2 and 4 are eliminated and also that these exists a solution 250<x≤300
Looking at options, if x=256 we get y=64. Using these values we see the option 1,2 and 4 are eliminated and also that these exists a solution 250<x≤300
Most Upvoted Answer
If x and y are integers, then the equation 5 x + 19 y = 64 hasa)no sol...
If x and y are integers, we can determine if the equation has a solution by observing the coefficients of x and y.
In this case, the coefficient of x is 5 and the coefficient of y is 19.
To find a solution, the right-hand side of the equation (64) must be divisible by the greatest common divisor (GCD) of the coefficients of x and y.
The GCD of 5 and 19 is 1, and 64 is not divisible by 1. Therefore, the equation does not have a solution for x and y as integers.
In this case, the coefficient of x is 5 and the coefficient of y is 19.
To find a solution, the right-hand side of the equation (64) must be divisible by the greatest common divisor (GCD) of the coefficients of x and y.
The GCD of 5 and 19 is 1, and 64 is not divisible by 1. Therefore, the equation does not have a solution for x and y as integers.
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If x and y are integers, then the equation 5 x + 19 y = 64 hasa)no solution for x < 300 and y < 0b)no solution for x > 250 and y > -100c)a solution for 250 < x < 300d)a solution for - 59 < y < - 56Correct answer is option 'C'. Can you explain this answer?
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If x and y are integers, then the equation 5 x + 19 y = 64 hasa)no solution for x < 300 and y < 0b)no solution for x > 250 and y > -100c)a solution for 250 < x < 300d)a solution for - 59 < y < - 56Correct answer is option 'C'. Can you explain this answer? for CA Foundation 2024 is part of CA Foundation preparation. The Question and answers have been prepared according to the CA Foundation exam syllabus. Information about If x and y are integers, then the equation 5 x + 19 y = 64 hasa)no solution for x < 300 and y < 0b)no solution for x > 250 and y > -100c)a solution for 250 < x < 300d)a solution for - 59 < y < - 56Correct answer is option 'C'. Can you explain this answer? covers all topics & solutions for CA Foundation 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for If x and y are integers, then the equation 5 x + 19 y = 64 hasa)no solution for x < 300 and y < 0b)no solution for x > 250 and y > -100c)a solution for 250 < x < 300d)a solution for - 59 < y < - 56Correct answer is option 'C'. Can you explain this answer?.
If x and y are integers, then the equation 5 x + 19 y = 64 hasa)no solution for x < 300 and y < 0b)no solution for x > 250 and y > -100c)a solution for 250 < x < 300d)a solution for - 59 < y < - 56Correct answer is option 'C'. Can you explain this answer? for CA Foundation 2024 is part of CA Foundation preparation. The Question and answers have been prepared according to the CA Foundation exam syllabus. Information about If x and y are integers, then the equation 5 x + 19 y = 64 hasa)no solution for x < 300 and y < 0b)no solution for x > 250 and y > -100c)a solution for 250 < x < 300d)a solution for - 59 < y < - 56Correct answer is option 'C'. Can you explain this answer? covers all topics & solutions for CA Foundation 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for If x and y are integers, then the equation 5 x + 19 y = 64 hasa)no solution for x < 300 and y < 0b)no solution for x > 250 and y > -100c)a solution for 250 < x < 300d)a solution for - 59 < y < - 56Correct answer is option 'C'. Can you explain this answer?.
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