question: a plane is given by the equation eliminate s and t and put the equation into the form ax+by+cz=d.
work: and Plug them into original x,y,z equations and solve for x,y,z
problem: I don't know how to combine 3 equations into 1
Last edited by superdude; Oct 27th 2009 at 10:24 PM.
Reason: changed work
question: a plane is given by the equation eliminate s and t and put the equation into the form ax+by+cz=d.
work: and Plug them into original x,y,z equations and solve for x,y,z
problem: I don't know how to combine 3 equations into 1
Just substitute your expressions for s and t into z = s + 3t.
Personally, this is how I'd solve the question:
Solve y = s + t and z = s + 3t simultaneously to get s and t in terms of y and z. Now substitute these solutions for s and t into x = 60s + 2t.