To find the intersection points of the planes defined by the equations 2x - y - z = 3 and x + 2y + 3z = 7, the solution involves determining the direction of the line formed by their intersection. The simplest approach is to express one variable in terms of the others and solve the resulting system of equations. This will yield a parametric representation of the line where the planes intersect. The discussion emphasizes finding the direction first, which is crucial for identifying the intersection line. Understanding this method is essential for solving similar problems in linear algebra.
