Bella finds a stadium that charges $8/hour to use the jogging track. She also finds a bike rental shop that charges $10/hour for a bike rental. She pays a total of $44 to train for the day. Jamar does a little bit better. He can use his high school's track for $4/hour and his uncle will rent him a bike for $5/hour. He pays a total of $22 to train for the day. If Bella and Jamar use the track they found for x hours and rent the bike they discover for y hours, how many hours does each one spend at the track?

Question

please help i need to know the answer and if it has a solution no solutions or infinite solutions plz help its my last question

Answer 1

8x+ 10y =44
4x + 5y =22
Probably the best way to find the solution is to multiply the second equation by -2 because we are using the elimination (addition) method.

8x+ 10y =44
-8x -10y =-44
When you add these everything cancels and you get 0=0
Any time you get a true statement, the answer is any solution.
Any value of x will work.
Actually, if you graphed these lines, they would graph on top of each other.

If the answer was no solution. You would have come up with something like 0=5 which is false. In that case, your two lines would be parallel to each other and would never cross (intersect).

Answer 2

Huh? You say

If Bella and Jamar use the track they found for x hours and rent the bike they discover for y hours, how many hours does each one spend at the track?

Clearly, they spend x hours at the track.
Is that each? Together? And where does the cost come into play?

Very poorly worded question.