Solve for x
x=\frac{7}{3z}
z\neq 0
Solve for z
z=\frac{7}{3x}
x\neq 0
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3x=7\times \frac{1}{z}
Reorder the terms.
3xz=7\times 1
Multiply both sides of the equation by z.
3xz=7
Multiply 7 and 1 to get 7.
3zx=7
The equation is in standard form.
\frac{3zx}{3z}=\frac{7}{3z}
Divide both sides by 3z.
x=\frac{7}{3z}
Dividing by 3z undoes the multiplication by 3z.
7z^{-1}=3x
Swap sides so that all variable terms are on the left hand side.
7\times \frac{1}{z}=3x
Reorder the terms.
7\times 1=3xz
Variable z cannot be equal to 0 since division by zero is not defined. Multiply both sides of the equation by z.
7=3xz
Multiply 7 and 1 to get 7.
3xz=7
Swap sides so that all variable terms are on the left hand side.
\frac{3xz}{3x}=\frac{7}{3x}
Divide both sides by 3x.
z=\frac{7}{3x}
Dividing by 3x undoes the multiplication by 3x.
z=\frac{7}{3x}\text{, }z\neq 0
Variable z cannot be equal to 0.
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