Chapter 6.1, Problem 17PPE

To determine

To calculate: solve system of equations by graph.

Answer to Problem 17PPE

  $x=-1,y=3$

Explanation of Solution

Given information:

  $\begin{array}{l}2x-y=-5\\ -2x-y=-1\end{array}$

Calculation:

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

  

Now, let’s verify solution,

  $\begin{array}{l}y=2x+5\\ y=-2x+1\end{array}$

  $\begin{array}{l}\therefore 2x+5=-2x+1\\ \therefore x=-1\end{array}$

And $y=2x+5=3$