In a city, the distance between the library and the police station is 3 miles less than twice the distance between the police station and the fire station. The distance between the library and the police station is 5 miles. How far apart are the police station and the fire station?

The distance between the police station and the fire station is x.
The distance between the library and the police station is 3 miles less than twice the distance between the police station and the fire station, so it is 2x-3. This distance is equal to 5 miles.

\(2x-3=5 \\ 2x=5+3 \\ 2x=8 \\ x=\frac{8}{2} \\ x=4\)

The police station and the fire station are 4 miles aparat.

Answer Link

shivishivangi1679 shivishivangi1679 · Answer 2 · 2022-06-24T11:43:25-04:00

The police station and the fire station are 4 miles apart.

What is a linear equation?

A linear equation is an equation that has the variable of the highest power of 1.

The standard form of a linear equation is of the form Ax + B = 0.

The distance between the police station and the fire station be x.

The distance between the library and the police station is 3 miles less than twice the distance between the police station and the fire station.

This distance is equal to 5 miles.

The equation would be

2x - 3 = 5

2x = 5 + 3

2x = 8

x = 8/ 2 = 4

Hence, The police station and the fire station are 4 miles apart.

Learn more about linear equations;

https://brainly.com/question/10413253

#SPJ5