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

Solve the system of the linear equations and interpret your solution geometrically:

2x + y + 2z - 4 = 0 [1]

x - y - z - 2 = 0 [2]

x + 2y -6z - 12 = 0 [3]

3. The attempt at a solution

I've tried to eliminate the y variable:

[1] + [2]

3x + z - 6 = 0 [4]

[1]x(-2) + [3]

-3x -10z + 4 = 0 [5]

Now solve for z

[4] + [5]

-9z - 2 = 0

z = -2/9

Is this correct so far?

I'm not sure what to do now, do I do this whole process again and solve for another variable? Or can I sub the z into [4] or [5]?

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# System of linear equation question: Intersection of three equations

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