Practice problem
Solve this system of linear equations using the inverse. {2x−y+9z=102x+y+4z=114x+6y−3z=23\begin{cases}2x-y+9z&=10\\2x+y+4z&=11\\4x+6y-3z&=23\end{cases}⎩⎨⎧2x−y+9z2x+y+4z4x+6y−3z=10=11=23
x=4y=5z=3\begin{align}x&=4\\y&=5\\z&=3\end{align}xyz=4=5=3
x=3y=4z=2\begin{align}x&=3\\y&=4\\z&=2\end{align}xyz=3=4=2
x=2y=3z=1\begin{align}x&=2\\y&=3\\z&=1\end{align}xyz=2=3=1
x=1y=2z=0\begin{align}x&=1\\y&=2\\z&=0\end{align}xyz=1=2=0
Type a concept, like “slope” or “photosynthesis”.