Question

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.

Answer 1

@Sammylemon

Answer 2

im here

Answer 3

okay, lets see

Answer 4

lets start with a

Answer 5

the answers a?

Answer 6

no, we have to do a-e in steps

Answer 7

lets do step a

Answer 8

oh ok go on..

Answer 9

Define the variable

Answer 10

let me write it out

Answer 11

ok

Answer 12

do 26-4 and then divide by two to get 11 miles

Answer 13

are you sure it is to divide by two?

Answer 14

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

Answer 15

for x + x+4 = 26
and 2x + 4 = 26

Answer 16

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

Answer 17

11 miles

Answer 18

great that's the number of miles run by who... Steve or Kevin...?

to check go back to the variable definitions...

Answer 19

steve

Answer 20

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...

Answer 21

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.

Answer 22

distance between eachother (4); sum of distances (26)

Answer 23

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...

Answer 24

well ok thanks

Answer 25

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