AMC 10 Step by Step
2021 AMC Fall 10AProblem 14P11-15~6 minPrint

How many ordered pairs (x,y)(x,y) of real numbers satisfy the following system of equations? \begin{align} x^2+3y&=9 \\ (|x|+|y|-4)^2 &= 1 \end{align}

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Problem © Mathematical Association of America (MAA), American Mathematics Competitions. Reproduced for non-commercial educational use. Solution and commentary are original to this site.