#### Jomo

##### Elite Member

- Joined
- Dec 30, 2014

- Messages
- 3,698

x, y, z and t are all integers satisfying

xz-2yt = 3

xt + yz = 1

Find x

It looks like it needs a unique trick to solve this.

Update: I used the fact that x and y are coprime (since xt + yz = 1) but still have not gotten any real results. I did notice by inspection that (x,y,z,t) = (3,1,1,0) works but that is kind of cheating. Besides I am sure that there are more solutions.

xz-2yt = 3

xt + yz = 1

Find x

^{2}+y^{2}+z^{2}+t^{2 }I tried squaring the equations but nothing seems to work.It looks like it needs a unique trick to solve this.

Update: I used the fact that x and y are coprime (since xt + yz = 1) but still have not gotten any real results. I did notice by inspection that (x,y,z,t) = (3,1,1,0) works but that is kind of cheating. Besides I am sure that there are more solutions.

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