-11x-y+3z=-21 (5x-y-5z=-5) (3x+y+z=13)

Sushank Pokharel asked May 22, 2023

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4 votes

-11x-y+3z=-21
(5x-y-5z=-5)
(3x+y+z=13)

Sushank Pokharel asked May 22, 2023

2.5k points

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12 votes

Answer:
y=15-5x, z=2x-2

Explanation:

Subtracting the first equation from the second equation yields
$16x-8z=16 \implies 2x-z=2 \implies z=2x-2$ .

Substituting this into the first equation,

$-11x-y+3(2x-2)=-21\\\\-11x-y+6x-6=-21\\\\-5x-y-6=-21\\\\-5x-y=-15\\\\5x+y=15\\ \\ y=15-5x$

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