AMC / AIME · Systems of Equations · Medium

Systems of Equations: Solve math, math for the larger possible math.

Linear and nonlinear systems.

Try the problem

Solve x+y=5x+y=5, xy=6xy=6 for the larger possible xx.

Hint and answer

Concept to use

Elimination.

Hint

Eliminate one variable, then check both equations.

Answer

3

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