Find the parametic equation of the line given by x+y-z=2,2x+3y+z=4

Attempt to solution:

Is the line given by this equation the intersection of these two planes ?

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- Feb 2nd 2010, 05:27 PMnyashaParametic equation of the straight line
Find the parametic equation of the line given by x+y-z=2,2x+3y+z=4

Attempt to solution:

Is the line given by this equation the intersection of these two planes ? - Feb 2nd 2010, 05:58 PMSudharaka
Dear nyasha,

Yes it is. I will give you a hint; the first step is to take z=0. If you need further assistance please don't hesitate to reply me. - Feb 2nd 2010, 07:31 PMnyasha
- Feb 3rd 2010, 06:34 AMSudharaka
Dear nyasha,

I don't know what row reduced echeloen form is. But you could easily find the line in the following method.

------(1)

---------(2)

This is the equation of the line. Since you need to find the parametric form,

Therefore,

Hope this helps. - Feb 3rd 2010, 08:06 AMSoroban
Hello, nyasha!

Here's my approach . . .

Quote:

Find the parametic equation of the line given by: .

Add [1] and [2]: .

. . Solve for

Substitute into [1]: .

. . Solve for

We have: .

On the right, replace with

. . and we have: .