Practice problem
Solve the system of equations. {x+y+z=−36x−y+2z= 8x−y+2z=−7\\\begin{cases}x+y+z&=-3\\6x-y+2z&=\ \ \ 8\\x-y+2z&=-7\end{cases}⎩⎨⎧x+y+z6x−y+2zx−y+2z=−3= 8=−7
x=3y=103z=−103\begin{matrix}x=3&y=\frac{10}3&z=-\frac{10}3\end{matrix}x=3y=310z=−310
x=3y=−23z=−163\begin{matrix}x=3&y=-\frac23&z=-\frac{16}3\end{matrix}x=3y=−32z=−316
x=15y=−225z=65\begin{matrix}x=\frac15&y=-\frac{22}5&z=\frac65\end{matrix}x=51y=−522z=56
x=15y=−25z=165\begin{matrix}x=\frac15&y=-\frac25&z=\frac{16}5\end{matrix}x=51y=−52z=516
Type a concept, like “slope” or “photosynthesis”.
