Question

Solve each equation or formula for the variable indicated.

$3x+2y=9$,for$y$

Short answer

The solution of the equation for$y$ is $\frac{9-3x}{2}$.

Step-by-step solution

Step 1. Given information.

We have an equation $3x+2y=9$.

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

Step 2. Calculation.

Solving the above equation:

$\begin{array}{l}3x+2y=9\\ \Rightarrow 2y=9-3x\\ \Rightarrow y=\frac{9-3x}{2}\end{array}$

Step 3. Conclusion.

From Above calculation

$y=\frac{9-3x}{2}$

Hence, the solution of the equation for$y$ is $\frac{9-3x}{2}$.