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August 23, 2014

August 23, 2014

Posted by **Mary** on Sunday, December 8, 2013 at 7:01pm.

x 0 0

y = 0 + t0

z 0 0

- Math - Linear Algebra -
**Reiny**, Sunday, December 8, 2013 at 7:54pm1st one times 2

2x - 8y - 6z = -36

2nd

-2x + 8y + 7z= 41

add them

z = 5

sub into 1st x - 4y - 15 = -18

x - 4y = -3

x = 4y - 3

let y = 0 , x = -3, z = 5 ---> point (0,-3,5)

let y = 2 , x = 5, z = 5 ---> point (2,5,5)

so direction of line of intersection is (2, 8, 0)

using the point (2,5,5)

x = 2 + 2t

y = 5 + 8t

z = 5

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