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 (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.

Help Please write it simple

Answer 1

Using a system of equations, it is found that:

b) The domain of the solution is that Steve ran 11 miles.

c) Variable S gives the distance ran by Steve.

d) The algebraic expressions are: K = 4 + S, K + S = 26.

e) The equation is: 4 + S + S = 26.

What is a system of equations?

A system of equations is when multiple variables are related, and equations are built to find the numeric values of each variable, according to the relations built in the problem.

In the context of this situation, the variables are given as follows:

Variable K: Distance ran by Kevin.

Variable S: Distance ran by Steve.

Kevin ran 4 miles more than Steve ran, hence:

K = 4 + S.

The sum of their distances is 26 miles, hence:

K + S = 26.

Replacing the first equation K = 4 + S on the second, we have that:

4 + S + S = 26

2S = 22

S = 11 miles.