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gchippewa81
10.10.2021 •
Mathematics
An eastbound car is going 5 miles per hour faster than a westbound car. The cars are
225 miles apart 5 hours after passing each other on a highway. What is the speed, in
miles per hour, of the eastbound car?
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Ответ:
Part 1) The system has no solution
Par 2) The system has one solution
Step-by-step explanation:
Part 1) we have
Remember that
If two lines are parallel then their slopes are equal
In this problem line A and line B have the same slope and different y-intercept
so
The lines don't intersect (the solution is the intersection point both lines)
therefore
The system has no solution
see the attached figure N 1 to better understand the problem
Part 2) we have
Remember that
If two lines have different slope then the lines have one intersection point
In this problem line A and line B have different slopes
therefore
The system has one solution (the solution is the intersection point both lines)
see the attached figure N 2 to better understand the problem