Question

Find the small positive integer solution that solves the equation. if there is no solution, type NONE.

Answer 1

9514 1404 393

Answer:

  x = 7

Step-by-step explanation:

The equation can be rewritten to ...

  8x = 13n +4 . . . . for some integers x and n

  x = (13n +4)/8

For x to be an integer, 13n must be an odd multiple of 4. Since 13 is an odd number, n=4 will do.

  x = (13·4 +4)/8 = 56/8

  x = 7

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The graph shows a "trial and error" method of solution. Only values of x less than 13 need to be examined.