<span>We are going to define two equations where b means bagels and m will be muffins,
First equation: 10*b + 4*m = 13
Second equation: 5*b + 8*m = 14
From the second equation, we can isolate b:
b = (14 - 8*m)/5
In the second equation
10*(14 - 8*m)/5 + 4*m = 13
2*(14 - 8*m) + 4*m = 13
28 - 16*m + 4*m = 13
28 -13 = 16*m - 4*m
15 = 12*m
m = 15/12 = 1.25
Then b = (14 - 8*m)/5 = (14 - 8*1.25)/5 = 4/5 = 0.8
So one bagel costs $0.8 and one muffin $1.25</span>
