Difference between revisions of "2018 AMC 10A Problems/Problem 12"
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How many ordered pairs of real numbers <math>(x,y)</math> satisfy the following system of equations? | 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) } 1 \qquad | <math>\textbf{(A) } 1 \qquad | ||
\textbf{(B) } 2 \qquad | \textbf{(B) } 2 \qquad | ||
Revision as of 15:01, 8 February 2018
How many ordered pairs of real numbers 
satisfy the following system of equations?
\begin{align*}x+3y&=3\\ \big||x|-|y|\big|&=1\end{align*}
See Also
| 2018 AMC 10A (Problems • Answer Key • Resources) | ||
| Preceded by Problem 11 |
Followed by Problem 13 | |
| 1 • 2 • 3 • 4 • 5 • 6 • 7 • 8 • 9 • 10 • 11 • 12 • 13 • 14 • 15 • 16 • 17 • 18 • 19 • 20 • 21 • 22 • 23 • 24 • 25 | ||
| All AMC 10 Problems and Solutions | ||
These problems are copyrighted © by the Mathematical Association of America, as part of the American Mathematics Competitions. 
