Question

Solve each equation. Check your solution.

$-\frac{2}{5}=-\frac{z}{45}$

Short answer

The required solution is $z=18$.

Step-by-step solution

Step 1. Write the given information. 

The given equation is:$-\frac{2}{5}=-\frac{z}{45}$

Step 2. Calculation.

Consider the given equation,

$$\begin{gathered} -\frac{2}{5}=-\frac{z}{45} \\ \frac{2}{5}\left(45\right)=z \\ z=18 \end{gathered}$$

Step 3. Checking solution.

Substitute $z=18$in the given equation, we get

$\begin{array}{l}-\frac{2}{5}=-\frac{z}{45}\\ -\frac{2}{5}=-\frac{18}{45}\\ -\frac{2}{5}=-\frac{2}{5}\end{array}$

Hence, proved.