Question

The restaurant bill you and your friend received was not itemized. You ordered 2 drinks refills and the egg breakfast, for a total of $8.40. Your friend ordered 3 refills and the egg breakfast for 9.35.

B) Graph the equations in the system.

Answer 1

the complete question in the attached figure

let
r-----------> the amount charged for a refill
b ----------> the amount charged for the egg breakfast.

we know that
2r+b=8.40
3r+b=9.35

Part a) Write a system of equations for the situation

the answer Part a) is
2r+b=8.40
3r+b=9.35

Part b) Graph the equations in the system

using a graph tool
see the attached figure

Part c) Use your graph to estimate how much each item cost.
we know that

the point of intersection of both graphs is the solution of the system

the solution is the point (0.95,6.5)
therefore
r=0.95
b=6.5
the amount charged for a refill is $0.95
the amount charged for the egg breakfast is $6.5