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# Sum of X and Y

Pro Problems > Math > Algebra > Equations > Systems of Equations > Non-Linear

## Sum of X and Y

Find the sum of x and y if x and y are positive numbers such that x2 + 3xy + y2 = 424 and xy = 100

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Problem by Mr. H

## Solution

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## Similar Problems

Solve for m and n.

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### One Equation, Two Variables

Usually we say that if we have two variables, we need two equations to solve, and if we have three variables, we need three equations to solve. This is not 100% true, however, and the problem below is a good example of a single equation in two variables which produce a single ordered pair solution.

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X and Y System, Product of X and Y, To Sum It Up   Like us on Facebook to get updates about new resources