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Equations & Systemsmedium
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Consider the three planes represented by the equations: {x+y+z=12x+2y+2z=53x−y+z=4\begin{cases} x + y + z = 1 \\ 2x + 2y + 2z = 5 \\ 3x - y + z = 4 \end{cases}⎩⎨⎧​x+y+z=12x+2y+2z=53x−y+z=4​ How do these three planes intersect in 3D space?