Diophantine equations for integers.
Diophantine equations for integers.
Diophantine equations for integers.
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Solve 172x + 20y 1000• Then all solutions are x x o + (b/d)ty y o –(a/d)t where t is an integer.andFrom the equation 172x + 20y 1000,we see that a 172 and b 20.From our previous work, x o 500,y o - 4250, and d 4.So the solutions, in <strong>integers</strong>, arex 500 + 5t and y - 4250 – 43twhere t ranges over the <strong>integers</strong>.