Solve for x
x=\frac{16}{5-17z}
z\neq \frac{5}{17}
Solve for z
z=\frac{5}{17}-\frac{16}{17x}
x\neq 0
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\left(5-17z\right)x=16
Combine all terms containing x.
\frac{\left(5-17z\right)x}{5-17z}=\frac{16}{5-17z}
Divide both sides by 5-17z.
x=\frac{16}{5-17z}
Dividing by 5-17z undoes the multiplication by 5-17z.
-17xz=16-5x
Subtract 5x from both sides.
\left(-17x\right)z=16-5x
The equation is in standard form.
\frac{\left(-17x\right)z}{-17x}=\frac{16-5x}{-17x}
Divide both sides by -17x.
z=\frac{16-5x}{-17x}
Dividing by -17x undoes the multiplication by -17x.
z=\frac{5}{17}-\frac{16}{17x}
Divide 16-5x by -17x.
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