The length of eastern continental trail is 5400 miles and length of erie canal trail is 360 miles.
Step-by-step explanation:
Given,
Combined length of both trails = 5760 miles
Let,
x be the length of eatern continental trail.
y be the length of Erie canal trail.
According to given statement;
x+y=5760 Eqn 1
x = 15y Eqn 2
Putting value of x from Eqn 2 in Eqn 1
[tex]15y+y=5760\\16y=5760[/tex]
Dividing both sides by 16
[tex]\frac{16y}{16}=\frac{5760}{16}\\y=360\\[/tex]
Putting y=360 in Eqn 2
[tex]x=15(360)\\x=5400[/tex]
The length of eastern continental trail is 5400 miles and length of erie canal trail is 360 miles.
Keywords: linear equation, substitution method
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