Chapter 11.6, Problem 59AYU

In Problems 57-64, use a graphing utility to solve each system of equations.Express the solution(s) rounded to two decimal places.

$\{\begin{array}{l}{x}^2\text{ + }{y}^3\text{ = }2\\ x^{3}y\text{ = }4\end{array}$

To determine

To solve: The system of equations by using graphical utility.

Answer to Problem 59AYU

Solution:

$x = - 1.65,y = - 0.89$

Explanation of Solution

Given:

$x^2 + y^3 = 2$    -----(Eq 1)

$x^{3}y = 4$    -----(Eq 2)

Graph:

It can be seen from the graph that the curves for the equations intersect at $\left(\text{-}1.65,\text{-}0.89\right)$. Hence the solution to the given system of equations is $\left(\text{-}1.65,\text{-}0.89\right)$.