# How do you solve for z in y^2 - 4x = 8z - 3yz?

May 10, 2017

Not possible

#### Explanation:

For each variable you want to solve for, a separate equation is needed. For example, if you want to solve for $x$ in $x = 5 \cdot 2$, you only need one equation. If you wanted $x$ and $y$, you would need a system of two equations. If you wanted three variables, you need three equations, so on and so forth.

May 10, 2017

Use distributive property on the right-hand side and isolate $z$.

#### Explanation:

First we can use the distributive property to take out the $z$ on the right-hand side:
${y}^{2} - 4 x = z \left(8 - 3 y\right)$

To isolate the $z$, we can divide over the $8 - 3 y$:
$z = \frac{{y}^{2} - 4 x}{8 - 3 y}$, where $y \ne \frac{8}{3}$ which gives us the expression for z