solve this equation using gaussian or gauss-jordan elimination 4x+8y-z=10 3x-8y+9z=14 7x+6y+5z=0
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You need to use gaussian elimination, hence, you need to convert the original form of the system to a triangular form.
You need to eliminate the variable x from the first and second equations and then, from the first and the third equations such that:
`{(4x+8y-z=10|*(-3)), (3x-8y+9z=14|*4):}` `=gt{(-12x-24y+3z=-30),(12x-32y+36z=56):}`
Adding the equations yields:
`-56y + 39z = 26`
Considering the first and the third equations yields:
`{(4x+8y-z=10|*(7)), (7x+6y+5z=0|*(-4)):}` `=>{(28x+56y-7z=70),(-28x-24y-20z=0):}`
Adding the equations yields:
`32y - 27z = 70`
You need to use the equations -`56y + 39z = 26` and `32y - 27z = 70` to eliminate y such that:
`{(-56y + 39z = 26|*4),(32y - 27z = 70|*7):}=gt` `{(-224y + 156z = 104),(224y - 189z = 490):}`
`-33z = 594 => z = -18`
Substituting -18 for z in equation `32y - 27z =...
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starTop subjects are Math, Science, and Business