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AlexFokin [52]
2 years ago
12

Solve using gaussian elimination and show ur work

Mathematics
1 answer:
jarptica [38.1K]2 years ago
7 0

Add the last two equations to eliminate <em>x</em> :

(<em>x</em> - 2<em>y</em> - 3<em>z</em>) + (- <em>x</em> + <em>y</em> + 2<em>z</em>) = 0 + 3

- <em>y</em> - <em>z</em> = 3

<em>y</em> + <em>z</em> = -3

Subtract this from the first equation to eliminate <em>z</em>, then solve for <em>y</em> :

(2<em>y</em> + <em>z</em>) - (<em>y</em> + <em>z</em>) = -8 - (-3)

<em>y</em> = -5

Plug this into the first equation to solve for <em>z</em> :

2(-5) + <em>z</em> = -8

<em>z</em> = 2

Plug both of these into either the second or third equations to solve for <em>x</em> :

<em>x</em> - 2(-5) - 3(2) = 0

<em>x</em> = -4

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