Answered

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Hi, could someone solve this parametric system?
7х+4y – 5z = 2
3х +5y +kz = 4
X+ky +7z = k
​

Sagot :

sqdancefan

9514 1404 393

Answer:

  (x, y, z) = ((7 -2k)/(-31 +7k), (-29 +7k)/(-31 +7k), 1/(31 -7k))

Step-by-step explanation:

The system can be solved by any of your favorite methods. Treat k as you would any number.

My row reduction software says the solution is ...

  (x, y, z) = ((7 -2k)/(-31 +7k), (-29 +7k)/(-31 +7k), 1/(31 -7k))

__

Clearly, k ≠ 31/7.

The augmented coefficient matrix is attached.

View image sqdancefan
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