Question 509780
5t/12=4-3t
5t/12*12=4-3t*12
5t=48-36t ---------------> here you made a little mistake you changed sign (- to +)
5t+36=48
41t=48
41t/41=48/41
t= 48/41
t=1.17



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Check
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5t/12=4-3t
put the value of t=48/41 (that is your answer in fraction)
5(48/41)/12=4-3(48/41)
Multiply by 12 as you did earlier
5(48/41)=48-36*(48/41)
now multiply by 41 both sides
41*(5(48/41)=41*(48-36*(48/41))
5(48)=41*48-(36*48)
240=1968-1728
240=240


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5t/12=4-3t
put the value of t=1.17 (that is your answer in decimal)
5(1.17)/12=4-3(1.17)
5.85/12=4-3.51
0.49=0.49


So you found the correct value of t which is 48/41 or 1.17