Answer:
Following are the required equations
![x +y=84](https://img.qammunity.org/2023/formulas/mathematics/high-school/3mwpz6oefzr7uhg8zar0ntj8qztr468xvp.png)
![6x +5y=440](https://img.qammunity.org/2023/formulas/mathematics/high-school/cun0bwdapwyb43yiafq10y90lbvehyfbzm.png)
Explanation:
Let x boxes of pecans and y boxes of peanuts sold.
Total no of boxes sold = 84
![\implies x +y=84](https://img.qammunity.org/2023/formulas/mathematics/high-school/x2vp1kdyv1fk54nl88x5wfzsbcznanq48m.png)
Cost of one box of pecan =$6
So, cost of x boxes of pecans =$6x
Cost of one box of peanuts = $5
So, cost of y boxes of peanuts =$5y
Total sales = $440
![\implies 6x +5y=440](https://img.qammunity.org/2023/formulas/mathematics/high-school/pua2jtjmbg93vcx7b4j8lwlhvww50xdxml.png)