QuestionDo the planes $x_{1}+2 x_{2}+x_{3}=5$, $x_{2}-x_{3}=1$, and $2 x_{1}+6 x_{2}=10$ intersect at a common point? Choose A, B, or C.

Studdy Solution
We can see that the third equation is just twice the first equation, so these two equations are dependent. This means that the three planes intersect along a line, not at a single point.
Therefore, the correct answer is (A) The three planes do not have a common point of intersection.