(adsbygoogle = window.adsbygoogle || []).push({}); 1. The problem statement, all variables and given/known data

Solve the following systems and interpret the result geometrically

x - y - 2z - 3 = 0

2x - 3y - 3z + 15 = 0

x - 2y - z + 10 = 0

2. Relevant equations

3. The attempt at a solution

x - y - 2z - 3 = 0…………….(1)

2x - 3y - 3z + 15 = 0……….(2)

x - 2y - z + 10 = 0…………..(3)

first multiply equation (1) by -2

getting:

2x-2y-4z-6=0

Use elimination:

2x-2y-4z-6=0

-(2x - 3y - 3z + 15 = 0)

y-z-21=0

y-z=21

Elimination:

x-y-2z-3=0

-(x - 2y - z + 10 = 0)

y-z-13=0

==> y-z=13

Use elimination:

y-z=+21

y-z=13

Use elimination

(y-z=21)

-(y-z=13)

0=8

The answer is 0=number..This means that the system is inconsistent, and the planes never intersect.

I would really appreciate it if someone could take a look over my working, and point out any mistakes.

Thanks!

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# Planar Intersections (Answer Check)

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