SOLUTION: Two trains depart a train station traveling in opposite directions. the one traveling north was going twice as fast as the one going south. after 4 hours they were 600 miles apart.

Question 830129: Two trains depart a train station traveling in opposite directions. the one traveling north was going twice as fast as the one going south. after 4 hours they were 600 miles apart. how fast was the faster train going
Answer by TimothyLamb(4379) (Show Source): You can put this solution on YOUR website!
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x = fast train
y = slow train
x = 2y
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relative speed of trains:
s = x + y
s = d/t
s = 600/4
s = 150 mph
x + y = 150
---
linear system:
x = 2y
x + y = 150
---
put the system of linear equations into standard form:
---
x - 2y = 0
x + y = 150
---
copy and paste the above linear system in standard form into this matrix-method solver:
https://sooeet.com/math/system-of-linear-equations-solver.php
---
solution:
x = fast train = 100 mph
y = slow train = 50 mph
---
Solve and graph linear equations:
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---
Solve quadratic equations, quadratic formula:
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---
Solve systems of linear equations up to 6-equations 6-variables:
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