Chapter 8.1, Problem 11OE

To determine

To solve: The given equation for y in terms of x .

Answer to Problem 11OE

The result is $y=\frac{x}{3}-\frac{4}{3}$ .

Explanation of Solution

Given:

The equation is $x=4+3y$ .

Calculation:

In order to obtain the given equation in terms of x , first subtract $4$ from both sides as shown below:

  $\begin{array}{c}x=4+3y\\ x-4=4+3y-4\\ x-4=3y\end{array}$

Now interchange the left hand side of the equation with the right hand side and divide both sides of the obtained equation by 3.

  $\begin{array}{c}3y=x-4\\ \frac{3y}{3}=\frac{x-4}{3}\\ y=\frac{x}{3}-\frac{4}{3}\end{array}$

So, the equation in terms of x is $y=\frac{x}{3}-\frac{4}{3}$ .