SOLUTION: Solve the system. Enter answer as an ordered pair (t,v). 1/2t - 1/5v = 5/2 2/3t + 1/4v = 7/12

Algebra ->  Coordinate Systems and Linear Equations  -> Lessons -> SOLUTION: Solve the system. Enter answer as an ordered pair (t,v). 1/2t - 1/5v = 5/2 2/3t + 1/4v = 7/12      Log On


   

Question 531439: Solve the system. Enter answer as an ordered pair (t,v).
1/2t - 1/5v = 5/2
2/3t + 1/4v = 7/12
Answer by stanbon(75887) About Me  (Show Source):
You can put this solution on YOUR website!
1/2t - 1/5v = 5/2
2/3t + 1/4v = 7/12
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Get rid of those fractions:
5t - 2v = 25
8t + 3v = 7
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Multiply 1st by 3
Multiply 2nd by 2
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15t - 6v = 75
16t + 6v = 14
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Add and solve for "t":
31t = 89
t = 89/31
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solve for "v":
5t - 2v = 25
5*(89/31) - 2v = 25
2v = 445/31 - 25
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2v = -330/31
v = -165/31
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Cheers,
Stan H.
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