Answer:
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!
