Cookie_2046
  • Cookie_2046
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.
Mathematics
  • Stacey Warren - Expert brainly.com
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SOLVED
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chestercat
  • chestercat
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Cookie_2046
  • Cookie_2046
@Sammylemon
anonymous
  • anonymous
im here
anonymous
  • anonymous
okay, lets see

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More answers

anonymous
  • anonymous
lets start with a
Cookie_2046
  • Cookie_2046
the answers a?
anonymous
  • anonymous
no, we have to do a-e in steps
anonymous
  • anonymous
lets do step a
Cookie_2046
  • Cookie_2046
oh ok go on..
anonymous
  • anonymous
Define the variable
anonymous
  • anonymous
let me write it out
Cookie_2046
  • Cookie_2046
ok
anonymous
  • anonymous
do 26-4 and then divide by two to get 11 miles
anonymous
  • anonymous
are you sure it is to divide by two?
campbell_st
  • campbell_st
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
Cookie_2046
  • Cookie_2046
for x + x+4 = 26 and 2x + 4 = 26
campbell_st
  • campbell_st
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
Cookie_2046
  • Cookie_2046
11 miles
campbell_st
  • campbell_st
great that's the number of miles run by who... Steve or Kevin...? to check go back to the variable definitions...
Cookie_2046
  • Cookie_2046
steve
campbell_st
  • campbell_st
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...
anonymous
  • anonymous
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.
anonymous
  • anonymous
distance between eachother (4); sum of distances (26)
anonymous
  • anonymous
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...
Cookie_2046
  • Cookie_2046
well ok thanks
campbell_st
  • campbell_st
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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