Chapter 11, Problem 17P

Given the pair of nonlinear simultaneous equations:

$\begin{array}{c}f\left(x,y\right)=4-y-2x^2\\ g\left(x,y\right)=8-y^2-4x\end{array}$

(a) Use the Excel Solver to determine the two pairs of values of x and y that satisfy these equations.

(b) Using a range of initial guesses $\left(x=-6\text{to 6 and }y=-6\text{ to 6}\right)$, determine which initial guesses yield each of the solutions.