Problem

The answer to exercise marked [BB] can be found in the Back of the Book.Suppose 2x0 + 5y0...

The answer to exercise marked [BB] can be found in the Back of the Book.

Suppose 2x0 + 5y0 = 19 = 2x +5y for certain integers x0, y0, x, y.

(a) Show that there exists an integer k such that x = x0+5k and y = y0 −2k.

(b) If 2x +5y = 19, show that there exists an integer k such that x = 2+5k and y = 3 − 2k.

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