# SOLUTION: Solve the system. (Give your answer as an improper fraction. If the system has infinitely many solutions, express your answer in terms of k, where t = t(k) and v = k. If the system

Algebra ->  Algebra  -> Customizable Word Problem Solvers  -> Misc -> SOLUTION: Solve the system. (Give your answer as an improper fraction. If the system has infinitely many solutions, express your answer in terms of k, where t = t(k) and v = k. If the system      Log On

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 Click here to see ALL problems on Miscellaneous Word Problems Question 364565: Solve the system. (Give your answer as an improper fraction. If the system has infinitely many solutions, express your answer in terms of k, where t = t(k) and v = k. If the system has no solution, enter NONE for each answer.) 1/2t-1/5v=5/2 2/3t+1/4v=29/12 Answer by stanbon(57383)   (Show Source): You can put this solution on YOUR website!1/2t-1/5v=5/2 2/3t+1/4v=29/12 ----- Multiply thru 1st by 10 Multiply thru 2nd by 12 ----- 5t - 2v = 25 8t + 3v = 29 ------ Multiply thru 1st by 3 Multiply thru 2nd by 2 ----- 15t - 6t = 3*25 16t + 6t = 2*29 ---- Add and solve for "t": 31t = 133 t = 133/13 ----- Substitute into 5t-2v = 25 to solve for "v": 5(133/13)-2v = 25 2v = 340/13 v = 170/13 ======================= Ans: The system is independent. ======================= Cheers, Stan H.