Question

Solve$5x-3y=9$for$y$.

Short answer

The solution of the equation for$y$ is $\frac{5x-9}{3}$.

Step-by-step solution

Step 1. Given information.

We have an equation$5x-3y=9$.

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

Step 2. Calculation.

Solving the above equation:

$\begin{array}{l}5x-3y=9\\ \Rightarrow -3y=9-5x\\ \Rightarrow 3y=5x-9\\ \Rightarrow y=\frac{5x-9}{3}\end{array}$

Step 3. Conclusion.

From Above calculation

$y=\frac{5x-9}{3}$

Hence, the solution of the equation for$y$ is $\frac{5x-9}{3}$.