Question

Solve each equation or formula for the variable indicated.

$-5m+9n=15$,for$m$

Short answer

The solution of the equation for$m$ is $\frac{9n-15}{5}$.

Step-by-step solution

Step 1. Given information.

We have an equation $-5m+9n=15$.

To find the solution of the given equation for $m$.

Step 2. Calculation.

Solving the above equation:

$\begin{array}{l}-5m+9n=15\\ \Rightarrow -5m=15-9n\\ \Rightarrow 5m=9n-15\\ \Rightarrow m=\frac{9n-15}{5}\end{array}$

Step 3. Conclusion.

From Above calculation

$m=\frac{9n-15}{5}$

Hence, the solution of the equation for$m$ is $\frac{9n-15}{5}$.