Question

Car A: y = 52x + 70 Car B: y = 54x + 56 After how many hours will the two cars be at the same distance from their starting point and what will that distance be?

Answer 1

54x+56=52x+70

We subtract 52x+56 from both sides:

2x=14

Divide by 2 to find that x=7. Substitute this back into either equation to find the amount of miles - using the first, 52*7+70=434

You get 7 hours, 434 miles

Answer 2

Assuming x is the hours each car has driven,
54x+56=52x+70
2x+56=70
2x=14
x=7
7 hours

52(7)+70
364+70
434 units (miles, yards, etc.)