Practice problem
Solve the system of equations. {3x+3y+6z=93x−y+z=3x−6y+3z=12\\\begin{cases}3x+3y+6z&=9\\3x-y+z&=3\\x-6y+3z&=12\end{cases}⎩⎨⎧3x+3y+6z3x−y+zx−6y+3z=9=3=12
x=0y=−1z=2\begin{matrix}x=0&y=-1&z=2\end{matrix}x=0y=−1z=2
x=127y=137z=−27\begin{matrix}x=\frac{12}7&y=\frac{13}7&z=-\frac{2}7\end{matrix}x=712y=713z=−72
x=35y=25z=15\begin{matrix}x=\frac35&y=\frac{2}5&z=\frac15\end{matrix}x=53y=52z=51
x=3037y=−3937z=6037\begin{matrix}x=\frac{30}{37}&y=-\frac{39}{37}&z=\frac{60}{37}\end{matrix}x=3730y=−3739z=3760
Type a concept, like “slope” or “photosynthesis”.