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Math·Advanced Math·Equivalent expressions

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$10yz-9xz=10xy-z$

The given equation relates the real numbers x, y, and z, where $x<0$ and $y>0$. Which equation correctly expresses z in terms of x and y?

A

$z=\frac{10xy}{10y-9x+1}$

B

$z=\frac{10xy}{10y-9x}$

C

$z=-29xy$

D

$z=9x$