The cost of an order of 1 hamburger and 2 orders of fries cost which Nathaniel and Liam bought is $6.5.
<h3>What is system of equation?</h3>
A system of equation is the set of equation in which the finite set of equation is present for which the common solution is sought.
Let the cost of 1 hamburger is x dollar and 2 orders of fries is y dollars. Nathaniel bought 3 hamburgers and 2 orders of fries for $12.50. Thus,

Solve this equation as,
.....1
Liam bought 2 hamburgers and 4 orders of fries for $13. Thus,

Put the value of y in this equation and solve it further,

Put this value of x in equation 1,

The cost of an order of 1 hamburger and 2 orders of fries is,

Thus, the cost of an order of 1 hamburger and 2 orders of fries cost which Nathaniel and Liam bought is $6.5.
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