General Solution-Three variables-Two Equations

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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?
 
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hi mikael27! :smile:

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? :wink:
 
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