Question
Asked Dec 1, 2019
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Given 5f+10g−15h=−105, −2f+3g+48h=259, and 4f+6g−21h=−128, use Gaussian elimination to solve the system.

Select the correct answer below:

 
(−5,7,6)
 
(7,−5,6)
 
(7,6,−5)
 
infinitely many solutions
 
no solutions
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Expert Answer

Step 1

Consider the system of equation

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5f+10g-15h -105 -2f+3g+8h259 |4f 6g-21h= -128

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Step 2

Rewrite the system in matrix form and solve it by Gaussian Elimination

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5 10 15-105 -2 48 259 6-2128 4

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Step 3

Apply R1 / 5 &r...

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1 2 -3 -21 -2 3 48 259 -128 6 -21

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Math

Algebra