Solving for a variable in terms of other variable Solve for $$ Z $$. $$ X=\frac{5}{6}(Y-Z) $$ $$ Z=\square $$

Question

UpStudy AI · Accepted Answer

To solve for $$ Z $$ in the equation:

$$
X = \frac{5}{6}(Y - Z)
$$

follow these steps:

1. **Multiply both sides by $$ \frac{6}{5} $$** to eliminate the fraction:

$$
\frac{6}{5} X = Y - Z
$$

2. **Isolate $$ Z $$** by subtracting $$ Y $$ from both sides:

$$
\frac{6}{5} X - Y = -Z
$$

3. **Multiply both sides by $$ -1 $$** to solve for $$ Z $$:

$$
Z = Y - \frac{6}{5} X
$$

**Final Solution:**

$$
Z = Y - \frac{6}{5} X
$$
$$ Z = Y - \frac{6}{5} X $$

Solving for a variable in terms of other variable Solve for \( Z \). \( X=\frac{5}{6}(Y-Z) \) \( Z=\square \)