Answer:
x=(y-1)/(3x^3)
Step-by-step explanation:
Note that to get rid of a cube root we must cube both sides. Last step I swapped out z and x^3 since you can multiply both sides by z and then divide by x^3 however this method is more efficient.
[tex]x=\sqrt[3]{\frac{y-1}{3z} }\\ \\x^3=\frac{y-1}{3z}\\\\z=\frac{y-1}{3x^3}[/tex]