If x and y are positive integers satisfying 5y – 7x = 17, the minimum value of x – y is ______.–7–9–∞1

Question

If x and y are positive integers satisfying 5y – 7x = 17, the minimum value of x – y is ______.–7–9–∞1
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Solution 1

The problem is a linear Diophantine equation. We are looking for integer solutions (x, y) that satisfy the equation 5y - 7x = 17 and minimize the value of x - y.

Step 1: Rearrange the equation to isolate y: 5y = 7x + 17.

Step 2: Divide through by 5: y = (7/5)x + 17/5.

Since x and y are integers, Knowee AI StudyGPT is a powerful AI-powered study tool designed to help you to solve study prob

Knowee AI StudyGPT is a powerful AI-powered study tool designed to help you to solve study problem.
Knowee AI StudyGPT is a powerful AI-powered study tool designed to help you to solve study problem.
Knowee AI StudyGPT is a powerful AI-powered study tool designed to help you to solve study problem.
Knowee AI StudyGPT is a powerful AI-powered study tool designed to help you to solv

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