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Two common names for streets are Second Street and Main ​Street, with 15,969 streets bearing one of these names. There are 365 more streets named Second Street than Main Street. How many streets bear each​ name?

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8167 streets are named Second Street and 7802 streets are named Main Street.

Step-by-step explanation:

Given,

Total streets = 15969

Let,

x be the number of streets named as Second Streets

y be the number of streets named as Main Streets

According to given statement;

x+y=15969    Eqn 1

x = y+365     Eqn 2

Putting value of x from Eqn 2 in Eqn 1

[tex](y+365)+y=15969\\y+365+y=15969\\2y=15969-365\\2y=15604[/tex]

Dividing both sides by 2

[tex]\frac{2y}{2}=\frac{15604}{2}\\y=7802[/tex]

Putting y=7802 in Eqn 2

[tex]x=7802+365\\x=8167[/tex]

8167 streets are named Second Street and 7802 streets are named Main Street.

Keywords: linear equation, substitution method

Learn more about substitution method at:

  • brainly.com/question/12522674
  • brainly.com/question/12747564

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