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Assuming x, y, and z are positive real numbers satisfying:

xy - z = 15

xz - y = 15

yz - x = 15

then, what is the value of xyz ?

 May 7, 2022
 #1
avatar+14080 
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What is the value of xyz ?

 

Hello Guest!

 

\(xy - z = 15\\ xz - y = 15\\ yz - x = 15 \)

\(z=xy-15\\ z=\frac{15-y}{x}\\ z=\frac{15-x}{y}\)

\(xy-15=\frac{15-y}{x}\\ \frac{15-y}{x}=\frac{15-x}{y}\\ ok\ Max.\)

 May 7, 2022
edited by asinus  May 9, 2022
 #2
avatar+9461 
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Please refer to this post: https://web2.0calc.com/questions/help-system_5

 

It is the exact same as this one.

 May 8, 2022

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