Question

Solve each equation or formula for the variable indicated.

$14w+15x=y-21w$,for$w$

Short answer

The solution of the equation for$w$ is $\frac{y-15x}{35}$.

Step-by-step solution

Step 1. Given information.

We have an equation $14w+15x=y-21w$.

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

Step 2. Calculation.

Solving the above equation:

$\begin{array}{l}14w+15x=y-21w\\ \Rightarrow 14w+21w=y-15x\\ \Rightarrow 35w=y-15x\\ \Rightarrow w=\frac{y-15x}{35}\end{array}$

Step 3. Conclusion.

From Above calculation

$w=\frac{y-15x}{35}$

Hence, the solution of the equation for$w$ is $\frac{y-15x}{35}$.