Question

Resolva o sistema escalonado abaixo

3×-2y+z=6
5y-2z=0
5z=10

Answer 1

$5z=10\\z= \frac{10}{5}=2\\z=2$
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$5y-2z=0\\5y-2.2=0\\5y-4=0\\5y= 4\\y= \frac{4}{5}$
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$3x-2y+z=6\\\\3x-2.( \frac{4}{5} )+2=6\\\\3x- \frac{8}{5} +2=6\\\\3x= \frac{8}{5} -2+6\\\\3x= \frac{8}{5} +4\\\\3x= \frac{8+20}{5} \\\\3x= \frac{28}{5} \\\\x= \frac{28}{5} /3\\\\x= \frac{28}{5} . \frac{1}{3} \\\\x= \frac{28}{15}$