SOLUTION: hi, i have worked this problem out three different ways and still come up with a decimal answer, so i think it is wrong. would you please check it? (2t+3)/(6)-(t-9)/(4) = 5

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Question 406747: hi, i have worked this problem out three different ways and still come up with a decimal answer, so i think it is wrong. would you please check it?
(2t+3)/(6)-(t-9)/(4) = 5
i used 12 as the common demoninator and multiplied both side by it
2(2t+3)-3(t-9)=60
4t+6-3t-(27) = 60
37t-3t=60 (like terms)
added 34 to both sides
(37t)/(37t) = t
somewhere i forgot to write out the answer since i rewrote this three times
t - 8.4
i am so lost, would you please help me
Answer by ewatrrr(24785)   (Show Source): You can put this solution on YOUR website!


Hi

(2t+3)/(6)-(t-9)/(4) = 5 

i used 12 as the common demoninator and multiplied both side by it 

2(2t+3)-3(t-9)=60 

4t+6-3t+(27) = 60  |Good work. However 'watch the signs'

 t + 33 = 60   |combining like terms (this is where it went...wrong)

    t = 27

CHECKING our Answer***

  57/6 - 18/4 = 9.5 - 4.5 = 5 

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