Problem

(a) Find integers x, y, and z that satisfy the equation6x + 15y + 20z = 1.(b) Under what c...

(a) Find integers x, y, and z that satisfy the equation

6x + 15y + 20z = 1.


(b) Under what conditions on a, b, c is it true that the equation

ax + by + cz = 1.

has a solution? Describe a general method of finding a solution when one exists.


(c) Use your method from (b) to find a solution in integers to the equation

155x + 341y + 385z = 1.

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Solutions For Problems in Chapter 6