Question

Solve the formula$5x+8y=1$for$y$

Short answer

The solution for$y$is$y=\frac{1-5x}{8}$.

Step-by-step solution

Step 1. Given information

The given formula is$5x+8y=1$

Step 2. Isolate y on one side of the formula.

Subtract $5x$from both sides and simplify as shown below:

$$\begin{gathered} 5x+8y=1 \\ 5x-5x+8y=1-5x \\ 8y=1-5x \end{gathered}$$

Step 3. Make coefficient of y as 1

Divide by $8$on both sides and simplify as shown below:

$$\begin{gathered} 8y=1-5x \\ \frac{8y}{8}=\frac{1-5x}{8} \\ y=\frac{1-5x}{8} \end{gathered}$$

Step 4. Final answer

The solution for$y$is$y=\frac{1-5x}{8}$.