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1. 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 {0, 4, 11, 22}.
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.

Question

Show all your work

1. 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 {0, 4, 11, 22}.
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.

anonymous · Answer

@Ria23

ria23 · Answer

X= Kevin and Y= Steve

ria23 · Answer

x+y=26
Because 26 is the total amount of miles

ria23 · Answer

x=4+y
Kevin= 4+ Steve

ria23 · Answer

We know how many more miles Kevin ran than Steve, now we need to find out the amount of miles Steve ran so we can figure out how many miles Kevin ran

ria23 · Answer

Sub for Kevin (x)
(y+4)+y=26

ria23 · Answer

2y+4=26

ria23 · Answer

Now subtract 4 from each side. What do yhu get?

anonymous · Answer

wouldnt it be subtract 2y from each side?

ria23 · Answer

No, because yhu have to subtract the 'like terms'

anonymous · Answer

okay well  about the first part but. 2y+4+26
                                                   -4      -4
                                                              22

ria23 · Answer

Right, that'll give yhu 2y=22

ria23 · Answer

Do yhu know what to do on this step?

anonymous · Answer

divide
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