Answer:
8 miles
Step-by-step explanation:
Given
Represent the police station with P, Library with L; Fire station with F
The first statement can be represented as:
[tex]L - P = P - F - 3[/tex]
The second can be represented as:
[tex]L - P = 5[/tex]
Required
Determine the distance between the police station and the fire station (P - F)
[tex]L - P = P - F - 3[/tex] --- (1)
[tex]L - P = 5[/tex] --- (2)
Substitute 5 for L - P in (1)
[tex]5 = P - F - 3[/tex]
Add 3 to both sides
[tex]3 +5 = P - F - 3 + 3[/tex]
[tex]3 +5 = P - F[/tex]
[tex]8= P - F[/tex]
[tex]P - F = 8[/tex]
