Practice problem
Solve this system of linear equations using the inverse. {2x+7y+z=24−3x−2y+5z=−196x+3y+3z=36\begin{cases}2x+7y+z=24\\-3x-2y+5z=-19\\6x+3y+3z=36\end{cases}⎩⎨⎧2x+7y+z=24−3x−2y+5z=−196x+3y+3z=36
x=7y=4z=2\begin{align}x&=7\\y&=4\\z&=2\end{align}xyz=7=4=2
x=6y=3z=1\begin{align}x&=6\\y&=3\\z&=1\end{align}xyz=6=3=1
x=5y=2z=0\begin{align}x&=5\\y&=2\\z&=0\end{align}xyz=5=2=0
x=4y=1z=−1\begin{align}x&=4\\y&=1\\z&=-1\end{align}xyz=4=1=−1
Type a concept, like “slope” or “photosynthesis”.