AMCAMC 10AMC 10 Aalgebrasystem of equationsabsolute value
Problem Statement
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*}
<spanclass=′latex−bold′>(A)</span>1<spanclass=′latex−bold′>(B)</span>2<spanclass=′latex−bold′>(C)</span>3<spanclass=′latex−bold′>(D)</span>5<spanclass=′latex−bold′>(E)</span>7