[tex] \underline{+\left\{\begin{array}{ccc}x+y=4\\x-y=6\end{array}\right}\ \ \ |\text{add both sides of equations}\\.\ \ \ \ \ 2x=10\ \ \ |:2\\.\ \ \ \ \ x=5\\\\Answer:\ A.\ consistent [/tex]
Because, the system of equations has one solution (a pair of numbers).
