Chapter 8.7, Problem 3GP

Solution

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

The solutions are $\left(-1.57,3.228\right),\left(-22.93,11.772\right)$ .

Given:

  $\begin{array}{c}{y}^2+6x-1=0\\ y=-0.4x+2.6\end{array}$

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 $\left(-1.57,3.228\right),\left(-22.93,11.772\right)$ .

Hence the solutions are $\left(-1.57,3.228\right),\left(-22.93,11.772\right)$ .