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

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) (Show Source): You can put this solution on YOUR website!
= the first number
= the other number
The square of the first number,
subtracted by twice the product of both numbers is
.
Adding twice the product of the two numbers to
thrice the square of the first number ,
and five times that number , we get
.
Adding the two equations we get

So, or
Substituting for in one of the two original equations, we can find .

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