PLEASE HELP ITS MATH THANK YOU

The answer is (10,55)

They both bowled for 10 hours and spent $55.

It will take me a long time to explain, but I'll give you the answer first, and then explain it later.

Step-by-step explanation:

Our system of equations are:

y = 4x + 15

y = 5x + 5

x = hours spent bowling

y = the total cost

I'll be using the substitution method, where y = 4x + 15 will be substituted into y = 5x + 5.

y = 4x + 15

y = 5x + 5

4x + 15 = 5x + 5

Now we solve

4x + 15 = 5x + 5

-5x         -5x

-x + 15 = 5

    - 15   - 15

-1x = -10 (the 1 in front is x is usually invisible)

/-1    /-1

x = 10

Now we substitute again to solve for y. *You can use either one of our original equations for this part y = 4x + 15 or y = 5x + 5.

y = 4x + 15

y = 4(10) + 15

y = 40 + 15

y = 55

We get our coordinates (10,55)

10 hours of bowling and $55 spent.

Hope that helps!