Solve the following system and interpret the result geometrically(adsbygoogle = window.adsbygoogle || []).push({});

3x + 4y + 5z - 18 = 0

2x - y + 8z - 13 = 0

-x + 17y + 25z + 11 = 0

My answer:

3x + 4y + 5z – 18 = 0 (1)

2x – y + 8z – 13 = 0 (2)

-x + 17y + 25z + 11 = 0 (3)

Multiply (1) by 2 and (2) by 3

6x + 8y + 10z – 36 = 0

6x – 3y + 24z – 39 = 0

Subtract the two equations

11y – 14z + 3 = 0 (4)

Multiply equation (3) by -3

3x – 51y – 75z – 33 = 0

Subtract the equation from (1)

55y + 80z + 15 = 0

Simplify

11y + 16z + 3 = 0 (5)

We now have the new system

11y – 14z + 3 = 0 (4)

11y + 16z + 3 = 0 (5)

Subtract (4) from (5)

30z = 0

this is as far as i got...i'm not sure if it is correct and if it is correct i dont know what it geometrically represents.

any guidance is appreciated

Thanks in advance

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# Homework Help: Solve the following system and interpret the result geometrically

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