SOLUTION: 1/2t - 1/5v = 5/2 2/3t + 1/4v = 7/12

Algebra ->  Coordinate Systems and Linear Equations  -> Lessons -> SOLUTION: 1/2t - 1/5v = 5/2 2/3t + 1/4v = 7/12      Log On


   

Question 909836: 1/2t - 1/5v = 5/2
2/3t + 1/4v = 7/12
Answer by Fombitz(32388) About Me  (Show Source):
You can put this solution on YOUR website!
%281%2F2%29t+-+%281%2F5%29v+=+5%2F2
Multiply both sides by 10
1,5t-2v=25
.
.
.
%282%2F3%29t+%2B+%281%2F4%29v+=+7%2F12
Multiply both sides by 12
2.8t%2B3v=7
Now multiply the first equation by 3 and the second by 2 and add them together to eliminate v.
15t-6v%2B16t%2B6v=75%2B14
31t=89
highlight%28t=89%2F31%29
Then use either equation to solve for v.
5%2889%2F31%29-2v=25
445%2F31-2v=778%2F31
-2v=%28778-445%29%2F31
-2v=330%2F31
highlight%28v=-%28165%2F31%29%29