Elena and marcus jog after school each day. one day, elena and marcus jogged a total of 15 miles. elena jogged 1 mile more than marcus. use a graph to find the numbed od miles wach person jogged

We are going to denote the distance that Elena jogged with , and the distance that Marcus jogged with .
We know that one day, they jogged 15 miles, so the distance Elena jogged plus the distance that Marcus jogged equals 15 miles:
This is our equation (1)

We also know that in the same day Elena jogged 1 mile more than Marcus, so the distance Elena jogged equals the distance that Marcus jogged plus one mile:
This is our equation (2)

Now that we have our equations setting up, lets arrange them into a system of equations:


Next we'll solve for  in our equation (2):
This is now our equation (3)

Lets replace equation (3) into equation (1) to find the value of :




Finally, now that we know the value of , lets replace it into our equation (3) to find the value of :



We can conclude that Elena jogged 8 miles and Marcus jogged 7 miles that day.