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GRE
GRE Quantitative Reasoning Section

Comparison of Sum and Product of Variables

Very Hard Algebra Expressions, Equations, And Inequalities

Let x and y be real numbers such that they satisfy the following system of equations:

$$3x + 2y = 12$$

$$2x - y = 5$$

We define two quantities based on this system:

Quantity A: The sum of x and y.

Quantity B: The product of x and y.

Determine the relationship between Quantity A and Quantity B.

Hint

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