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2018 AMC 10A Problems/Problem 12

Revision as of 14:10, 8 February 2018 by Ishankhare (talk | contribs) (Created page with "How many ordered pairs of real numbers <math>(x,y)</math> satisfy the following system of equations? \begin{align*}x+3y&=3\\ \big||x|-|y|\big|&=1\end{align*} <math>\textbf{(A)...")
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How many ordered pairs of real numbers $(x,y)$ satisfy the following system of equations? \begin{align*}x+3y&=3\\ \big||x|-|y|\big|&=1\end{align*} $\textbf{(A) } 1 \qquad \textbf{(B) } 2 \qquad \textbf{(C) } 3 \qquad \textbf{(D) } 4 \qquad \textbf{(E) } 8$

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