Prove that there are exactly ((a-1)(b-1))/2 values of c with c< ab-a-b for which the equation has a solution in nonnegative integers x and y.
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Originally Posted by mndi1105 Prove that there are exactly ((a-1)(b-1))/2 values of c with c< ab-a-b for which the equation has a solution in nonnegative integers x and y. Are we supposed to knoe that the equation in question is: $\displaystyle ax+by=c$ ? CB
Yes, ax+by=c is the linear diophantine equation
Sorry, also let (a,b)=1 and a,b,c positive integers
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