Question

3t+1 - 2t-3 = t+3 + 3t-1
------ ------- ----- -------
16 7 8 14

Plz solve this problem step by step..

Answer 1

(3t+1)/16 - (2t-3)/7 = (t+3)/8 + (3t-1)/14
=> [(3t+1)7 - (2t-3)16]/112 = [(t+3)7 + (3t-1)4]/56......(by taking L. C. M)
=> [(21t+7)-(32t-48)]/112=[(7t+21) + (12t-4)]/56
=> (21t+7-32t+48)/112=(7t+21+12t-4) /56
=> (-11t+55)/112=(19t+17)/56
=> (-11t+55)=(19t+17)112/56
=> (-11t+55)=(19t+17)2
=> -11t+55=38t+34
=> -11t-38t=34-55
=> -49t = -21
=> t = 21/49
=> t=3/7 ..........(Ans.)