Question #11100355

# Line of intersection between two planes?

**what is the equation of the line formed by the intersection of two planes
x + y + z = 1
x + y = 0
i was told you have to find the cross product and then find a point that satisfied both equations. I got (-1, 1, 0) as my normal vector. the vector normal to both planes. however, when I try to find a point, I can't. I set z = 0 and then I get
x + y = 1
x + y = 0
which does not work? what am I doing wrong?
**

TELL US , if you have any answer