Finding where a line intersects a plane using parametric equations

[dracolnyte]

Homework Statement

Find the coordinates of the point where the line (x+1)/7 = (y-1)/-4 = (z-5)/-5 intersects the plane 3x + 3y + 2z = 5

Homework Equations

none

The Attempt at a Solution

parameterized the equation of the line to
x = -1 + 7t
y = 1 - 4t
z = 5 - 5t

 

[rock.freak667]

parameterized the equation of the line to
x = -1 + 7t
y = 1 - 4t
z = 5 - 5t

Find the value of t which satisfies the equation of the plane 3x+3y+2z=5

 

[dracolnyte]

Oh thanks a lot! I completely forgot how to do algebra since gr.12.