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Answer :

We know that both days Elaine runs the same distance, so:

[tex]\text{distance on monday=distance on tuesday}[/tex]

From the question, we can find the followed expressions:

[tex]\text{Distance on monday=5 + 3x , where x is the amount of miles the trail has.}[/tex][tex]\text{distance on tuesday= 6+2x}[/tex]

So, we have:

[tex]5+3x=6+2x\text{ }\rightarrow\text{ x=1}[/tex]

So, the trail is 1 mile long.

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