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# System with a Product

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

## System with a Product

Find all ordered pairs (x, y) such that

2x + xy + y = 18

x - y = 2

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## Solution

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## Similar Problems

### Sum and Product System

The sum of a number and twice another number is ten less than the product of the numbers. The sum of the numbers is ten. What are all possible numbers that satisfy these criteria?

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One Equation, Two Variables, Linear and Quadratic, Cubic and Linear

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