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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?

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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.

[tex]2x-3=5 \\ 2x=5+3 \\ 2x=8 \\ x=\frac{8}{2} \\ x=4[/tex]

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

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

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