SOLUTION: Two numbers are such that if the square of the first number is subtracted by twice their product, the difference is -1. But twice the product added to the sum of thrice the square

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Question 1058635: Two numbers are such that if the square of the first number is subtracted by twice their product, the difference is -1. But twice the product added to the sum of thrice the square of the first number and five times that number gives 10.
Answer by KMST(5328) About Me  (Show Source):
You can put this solution on YOUR website!
x= the first number
y= the other number
The square of the first number,
subtracted by twice the product of both numbers is
x%5E2-2xy=-1 .
Adding twice the product of the two numbers %282xy%29 to
thrice the square of the first number %283x%5E2%29 ,
and five times that number %285x%29 , we get
3x%5E2%2B5x%2B2xy=10 .
Adding the two equations we get
4x%5E2%2B5x=9
4x%5E2%2B5x-9=0
4x%5E2%2B9x-4%D7-9=0
4x%28x-1%29%2B9%28x-1%29=0
%284x%2B9%29%28x-1%29=0
So, x=1 or x=-9%2F4
Substituting 1 for x in one of the two original equations, we can find y .
1%5E2-2%2A1%2Ay=-1
1-2y=-1
-2y=-1-1
-2y=-2
y=1