Posted by **Anonymous** on Saturday, October 13, 2012 at 10:55am.

Let a be an integer, then there are integers X, Y such that aX+(a+1)Y=1.

Find the smallest positive value of Y.

- Math -
**Reiny**, Saturday, October 13, 2012 at 2:05pm
aX + aY + a = 1

a((X+Y+1)=1

a = 1/(X+Y+1)

The only way that a can be an integer is for

X+Y+1 = 1 , to get 1/1

X = -Y

so X and Y must be opposite integers, and of course the smallest positive integer possible for X is 1

## Answer this Question

## Related Questions

- math - there are three consecutive positive integers such that the sum of the ...
- Math - Find the smallest positive integer d such that d=105m+216n, where m & n ...
- Math - Find the smallest positive integer n such that the equation 455x+1547y=50...
- Data Structures and Algorithms - Given integers R,M with M≠0, let S(R,M) ...
- math, algebra - 2a+2ab+2b I need a lot of help in this one. it says find two ...
- la sallle - There are 3 consecutive even integers such that the quotient ...
- algebra!!!! please help me!!!! - The smallest possible positive value of 1−...
- math - 1. The largest of five consecutive integers is twice the smallest. Find ...
- algebra - find three consecutive odd integers such that the sum of the middle ...
- Arithmetic Operations - Find a set of 4 distinct positive integers a,b,c,d such ...

More Related Questions