SOLUTION: one positive integer is 6 less than twice a number. the sum of their squares is 164. find the integers

Question 769223: one positive integer is 6 less than twice a number. the sum of their squares is 164. find the integers
Answer by Jc0110(165) (Show Source): You can put this solution on YOUR website!
Let the positive integer to be x whereas the number to be y.
---> Equation 1 ... Substitute into Equation 2
---> Equation 2
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or
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If ,
* is not the answer as x must be a positive integer.
If ,
* is the answer as x is a positive integer.
Thus, the integer is 10.
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