General Solution-Three variables-Two Equations

[mikael27]

Homework Statement

Find the general solution of the following set of equations:

u − w + y = 1
u + w + 2y = 0

Homework Equations

The Attempt at a Solution

I know that the solution is in this form (u,w,y)= (a,b,c) + k*(d,e,f)

Can you please explain me how i am going to find it?

 

[tiny-tim]

hi mikael27!

there are several ways to do this

one is to see that each equation represents a plane (in ordinary 3D space)

so their intersection is a line …

how would you find the direction of that line? ​