nydanJo3PcaldoMar nydanJo3PcaldoMar

11-11-2016
Mathematics

Answered

Given 3x = 4y = 12z, show that z = xy/(x + y)

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Verified Answer :

alsteva alsteva

16-11-2016

\(3x=4y=12z \Rightarrow x=4z,y=3z \\ \frac{xy}{x+y} \\ \\ \frac{4z3z}{4z+3z} \\ \\ \frac{12z^2}{7z} \\ \\ \frac{12}{7} z\)

So, I proved that \(\frac{xy}{x+y} e z\)

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