SOLUTION: Find the point P where the line x = 1 + t, y = 2t, z = -3t intersects the plane x + y - z = -1.

Algebra ->  Linear-equations -> SOLUTION: Find the point P where the line x = 1 + t, y = 2t, z = -3t intersects the plane x + y - z = -1.       Log On


   

Question 61909: Find the point P where the line x = 1 + t, y = 2t, z = -3t intersects the plane x + y - z = -1.

Answer by Nate(3500) About Me  (Show Source):
You can put this solution on YOUR website!
x = 1 + t
y = 2t
z = -3t
x + y - z = -1
1 + t + 2t + 3t = -1
6t = -2
t = -1/3
x = 1 + t = 1 - 1/3 = 2/3
y = 2t = 2(-1/3) = -2/3
z = -3t = -3(-1/3) = 1
( 2/3, -2/3, 1)