Micah walks on a treadmill at 4 miles per hour. He has walked 2 miles when Luke starts running at 6 miles per hour on the treadmill next to him. If their rates continue, will Luke's distance ever equal Micah's distance? Explain.

Yes, at the 1st hour and 6th mile.

Step-by-step explanation:

If The number of hours and The number of miles, then the system of equations is where Micah is the first equation and Luke is the second.

Solve by Substitution:

1) Solve for :

2) Substitute for in :

3) Add -6x to both sides:

4) Simplify both sides of the equation:

5) Add -2 to both sides:

6) Simplify both sides of the equation:

7) Divide both sides by -2:

8) Simplify both sides of the equation:

9) Substitute for in :

10) Simplify both sides of the equation:

Therefore, They meet at the 1st hour at the 6th mile

Solve by elimination:

You can't solve the system of equations by elimination

Solve by graphing:

They cross at (1, 6), which supports my answer.

nope lol

step-by-step explanation: