Writing a system of two equations

[Kristyg921]

I am unsure if I wrote the answer correctly. Please help.

Directions: Write a system of two equations that can be used to find x and y. DO NOT SOLVE THE SYSTEM.

Question: A jogger and a cyclist started at the same point and traveled for 2 hours in opposite directions until they were 42 miles apart. the cyclist traveled 10 mph faster than the jogger.

My Answer: Jogger= x Cyclist= y
2(x+y)=42
x=y+10

 

[Deleted member 4993]

I am unsure if I wrote the answer correctly. Please help.

Directions: Write a system of two equations that can be used to find x and y. DO NOT SOLVE THE SYSTEM.

Question: A jogger and a cyclist started at the same point and traveled for 2 hours in opposite directions until they were 42 miles apart. the cyclist traveled 10 mph faster than the jogger.

My Answer: Jogger= x Cyclist= y
2(x+y)=42
x=y+10

Your equations are correct - but your definition of variable s need a little more explanation. If I were to write those, I would have written:

Let the speed of the jogger = x mph (I would have named the variable 'j' instead of 'x')

Let the speed of the cyclist = y mph (I would have named the variable 'c' instead of 'y')