Chapter 6.1, Problem 12PPE

To determine

To calculate: solve system of equations by graph.

Answer to Problem 12PPE

  $x=3,y=2$

Explanation of Solution

Given information:

  $\begin{array}{l}y=\frac{1}{3}x+1\\ y=-3x+11\end{array}$

Calculation:

Let’s plot the graph of both the lines, the intersecting points will be our final solution.

  

Now, let’s verify solution,

  $\begin{array}{l}y=\frac{1}{3}x+1=-3x+11\\ \therefore x=3\end{array}$

And $y=-3x+11=2$