Question

100 POINTS

Kevin ran 4 miles more than Steve ran the sum of their distance 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 distance each person ran

C. Write an equation that can help you solve the problem

D. Solve the equation

E. Check your answer

Answer 1

y+y=22

2y=22

/2 /2

y=11

steve ran 11 miles.

Explanation:

Answer 2

A. The variable would be the number of miles ran, which will be X.

B. Steve ran X miles and Kevin ran X + 4, the two expressions are: X and X +4

C. Add both expressions together to equal the total miles:

The equation would be: X + X+4 = 26

D. solve:

x + x+4 = 26

Combine like terms:

2x +4 = 26

Subtract 4 from both sides:

2x = 22

Divide both sides by 2:

x = 22/2

x = 11

E: Check answer:

Steve ran X miles = X = 11, Steve ran 11 miles.

Kevin ran 4 more than Steve ( x +4) = 11+4 = 15 miles

The sum was 26: 11 + 15 = 26

26 = 26 The answer checks out to be true.