Answer
No. The planes do not have a point of intersection; i.e., the system of equations is not consistent.
Work Step by Step
Simplifying the augmented matrix to triangular form provides the relations:
$x_1=\frac{-14}{6}$, $x_2=\frac{-5}{6}$, and $0=\frac{-5}{6}$.
This final condition is not true, so there is no $(x_1, x_2)$ such that the equations for the three specified planes are satisfied.
