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2021 Fall AMC 10A Problems/Problem 14

Revision as of 01:39, 23 November 2021 by Mop (talk | contribs) (Created page with "<math>14</math>. How many ordered pairs <math>(x,y)</math> 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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$14$. How many ordered pairs $(x,y)$ of real numbers satisfy the following system of equations? \begin{align*} x^2+3y &= 9\\ (|x|+|y|-4)^2 &=1 \end{align*}

$\textbf{(A) }1\qquad\textbf{(B) }2\qquad\textbf{(C) }3\qquad\textbf{(D) }5\qquad\textbf{(E) }7$

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