Question

Solve each equation or formula for the variable specified.

$5x-10y=40$, for y

Short answer

The required equation is represented by $y=\frac{1}{2}x-4$.

Step-by-step solution

Step 1. Determine the method that can be used.

Isolation of y on any side of the equation will represent the required equation and to get this, perform some operations on the provided equation.

Step 2. Take the help of the obtained method.

Perform subtraction of $5x$on both sides of the provided equation.

role="math" localid="1647504507863" $\begin{array}{c}5x-10y-5x=40-5x\\ -10y=40-5x\end{array}$

Perform division of $-10$on both sides of the obtained equation.

role="math" localid="1647504547855" $\begin{array}{c}\frac{-10y}{-10}=\frac{40-5x}{-10}\\ y=\frac{1}{2}x-4\end{array}$

Step 3. Write the conclusion.

The obtained is$y=\frac{1}{2}x-4$ so it is required equation.