Practice problem
Solve the system of equations. {x−y+z=−1x−y−2z=4−2x+y−z=2\\\begin{cases}x-y+z&=-1\\x-y-2z&=4\\-2x+y-z&=2\end{cases}⎩⎨⎧x−y+zx−y−2z−2x+y−z=−1=4=2
x=1y=−1z=−1\begin{matrix}x=1&y=-1&z=-1\end{matrix}x=1y=−1z=−1
x=−3y=−5z=−1\begin{matrix}x=-3&y=-5&z=-1\end{matrix}x=−3y=−5z=−1
x=13y=−13z=−53\begin{matrix}x=\frac13&y=-\frac13&z=-\frac53\end{matrix}x=31y=−31z=−35
x=−1y=−53z=−53\begin{matrix}x=-1&y=-\frac53&z=-\frac53\end{matrix}x=−1y=−35z=−35
Type a concept, like “slope” or “photosynthesis”.