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If 725x + 727y = 1500 and 729x + 7y = 1508, what is the value of x - y?

 Apr 21, 2022
 #1
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the answer is 271404/131227

 Apr 21, 2022
 #2
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{725x+727y=1500 --- (1)729x+7y=1508 --- (2)

 

Subtract (1) from (2) to get 

4x720y=8x180y=2 --- (3)

 

Now, solve the system formed by equations (2) and (3) using method of elimination, and you will get (x,y)=(271454131227,50131227)

 

Therefore, x - y = 271404131227, as robloxDying suggested.

 Apr 22, 2022
 #3
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I think that that 7 in the 7y term looks incongruous.

I suspect a typo !

 Apr 22, 2022

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