Chapter 8.10, Problem 6E

To determine

To evaluate:

The value of the given number.

Answer to Problem 6E

The value of given operation is $xy=28$ .

Explanation of Solution

Given:

The order of operation

  $\begin{array}{l}11=x+y\\ x^2+y^2=65\end{array}$

Concept used:

Product means the answer to a multiplication problem

Sum means the total amount resulting from the addition of two or more numbers amounts or items

Quotientmeansa result obtained by dividing one quantity by another

Calculation:

The order of operation

  $\begin{array}{l}11=x+y\\ x^2+y^2=65\\ {\left(x+y\right)}^2=x^2+y^2+2xy\\ 121=65+2xy\\ xy=28\end{array}$

Therefore,

The value of given operation is $xy=28$ .