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Cookie_2046

  • one year ago

Kevin ran 4 miles more than Steve ran. The sum of their distances is 26 miles. How far did Steve run? The domain of the solution is . (a) Define your variable. (b) Write algebraic expressions for the distances each person ran. (c) Write an equation that can help you solve the problem. (d) Solve the equation. (e) Check your answer.

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  1. Cookie_2046
    • one year ago
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    @Sammylemon

  2. anonymous
    • one year ago
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    im here

  3. anonymous
    • one year ago
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    okay, lets see

  4. anonymous
    • one year ago
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    lets start with a

  5. Cookie_2046
    • one year ago
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    the answers a?

  6. anonymous
    • one year ago
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    no, we have to do a-e in steps

  7. anonymous
    • one year ago
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    lets do step a

  8. Cookie_2046
    • one year ago
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    oh ok go on..

  9. anonymous
    • one year ago
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    Define the variable

  10. anonymous
    • one year ago
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    let me write it out

  11. Cookie_2046
    • one year ago
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    ok

  12. anonymous
    • one year ago
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    do 26-4 and then divide by two to get 11 miles

  13. anonymous
    • one year ago
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    are you sure it is to divide by two?

  14. campbell_st
    • one year ago
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    let steve run x miles Kevin runes x + 4 so together they run 26 x + x+4 = 26 or 2x + 4 = 26 now solve for x

  15. Cookie_2046
    • one year ago
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    for x + x+4 = 26 and 2x + 4 = 26

  16. campbell_st
    • one year ago
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    no if you have the 2 distance x and x + 4 when you collect like terms it becomes 2x + 4 = 26 this is the only equation to solve

  17. Cookie_2046
    • one year ago
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    11 miles

  18. campbell_st
    • one year ago
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    great that's the number of miles run by who... Steve or Kevin...? to check go back to the variable definitions...

  19. Cookie_2046
    • one year ago
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    steve

  20. campbell_st
    • one year ago
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    great so since Kevin runs 4 miles more he runs 15 and part d asked you to check to solution 11 + 15 =26 so it works...

  21. anonymous
    • one year ago
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    yep... and if you just subtract the distance between each other from the sum of their total distances you will get double Steve's total distance and then you divide by two and get 11 miles. You are technically supposed to do it with the equation, but that is just a shortcut I use and it works every time.

  22. anonymous
    • one year ago
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    distance between eachother (4); sum of distances (26)

  23. anonymous
    • one year ago
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    and you divide by 2 because it was the sum of two people's distances... if it were 3 people you would divide by 3... 4 people you would divide by 4... and so on...

  24. Cookie_2046
    • one year ago
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    well ok thanks

  25. campbell_st
    • one year ago
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    so there are 2 methods to solve this equation... 1. simultaneously where the equations are s = steve and K = kevin s + k = 26 k - s = 4 the alternative is let steve = s miles kevin = s + 4 so use the sum s + s + 4 = 26 then 2s + 4 = 26 and solve for s either method gives the correct answer

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