Chapter 8.7, Problem 1GP

Solution

To solve: the given system of equations using a graphing calculator.

The solutions are $\left(-2,-3\right),\left(3,2\right)$ .

Given:

  $\begin{array}{c}{x}^2+y^2=13\\ y=x-1\end{array}$

Calculation:

By using the graphing calculator, the graph of the given system of equation is

  

From the above graph, it can be seen that the two curves meets at the points $\left(-2,-3\right),\left(3,2\right)$ .

Hence the solutions are $\left(-2,-3\right),\left(3,2\right)$ .