Asnack cart sells lemonade for $2 and hot dogs for $5. the vendor sold 86 items today for a total of $330.which equation is true?

There are two equations in the system of equations in this problem.
Let x = lemonade and y = hot dogs

First equation
x + y = 86
This says that the total sold hot dogs and lemonades add up to 86 sold.

Second equation
2x + 5y = 330
This says that $2 for each lemonade, $5 for each hot dog. The total amount earned is $330.

Only these two equations are true and needed.