ALGEBRA

I was given a series of questions I got through all but the last point. I need help on letter L, not figuring out how to solve, just how to write it in an equation.

Here is the main problem and sub problems and answers,

Your company must use a transportation service to shuttle their corporate partners from the airport for a quarterly meeting. Crespo Transportation Service charges $32 initially plus $8 per mile for every mile traveled. Siera Transportation Service charges $24 initially plus $10 per mile for every mile traveled.

i) Write an equation in two variables (x & y) that illustrates the costs for the Crespo Transportation Service.

Y=32+8x

j) Write an equation in two variables (x & y) that illustrates the costs for the Siera Transportation Service.

Y=24+10x

k) If the trip is 3 miles, how much does each one charge? If the trip is 6 miles, how much does each one charge? Explain
If the trip is 3 miles then Crespo transportation services would charge $56
Y=32+8x
Y=32+8(3)
Y=32+24
Y=56
For Siera transportation service if the trip is 3 miles then the total charge would be $54
Y=24+10x
Y=24+10(3)
Y=24+30
Y=54

l) At what mileage are both services charging the same rate? Explain
To find the mileage that would equal the same rate I would

I answered all but the last one and cannot figure how to write the equation;can you guide me?

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  1. all your answers are correct.

    For the last part:

    set the two y values equal
    24 + 10x = 32 + 8x
    2x = 8
    x = 4

    check: if x = 4
    for the first equation,
    y = 32 + 8(4) = 64

    for the second equation
    y = 24 + 10(4) = 64

    Checks !!

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