Difference between revisions of "2018 AMC 10A Problems/Problem 12"
Ishankhare (talk | contribs) |
|||
Line 1: | Line 1: | ||
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>\begin{align*}x+3y&=3\\ \big||x|-|y|\big|&=1\end{align*}</math> |
<math>\textbf{(A) } 1 \qquad | <math>\textbf{(A) } 1 \qquad | ||
\textbf{(B) } 2 \qquad | \textbf{(B) } 2 \qquad |
Revision as of 16:00, 8 February 2018
How many ordered pairs of real numbers satisfy the following system of equations?
$\begin{align*}x+3y&=3\\ \big||x|-|y|\big|&=1\end{align*}$ (Error compiling LaTeX. Unknown error_msg)
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 |
The problems on this page are copyrighted by the Mathematical Association of America's American Mathematics Competitions.