Chapter 11.1, Problem 44SR

To determine

To find: The solutions of the given system of equations.

Answer to Problem 44SR

The solution of the given system of equations is not possible.

Explanation of Solution

Given information:

The given equations are,

  $\begin{array}{l}{y}^2=x^2-25\\ x^2-y^2=7\end{array}$

The given equation is,

  $x^2-y^2=7$

Substitute $x^2-25$ for $y^2$ .

  $\begin{array}{l}{x}^2-\left(x^2-25\right)=7\\ 25\ne 7\end{array}$

Thus, the solution of the given system of equations is not possible.