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Find all values of t such that  6t - 2/3 + t/5 = 8 + (2 - t)/3

If you find more than one answer, enter every answer you find as list separated by commas.

 Feb 12, 2021
 #1
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\(6t-\frac{2}{3}+\frac{t}{5}=\frac{8+\left(2-t\right)}{3}\)

 

\(6t\cdot \:15-\frac{2}{3}\cdot \:15+\frac{t}{5}\cdot \:15=\frac{8+2-t}{3}\cdot \:15\)

 

\(93t-10=5\left(-t+10\right)\)

 

\(93t-10=-5t+50\)

 

\(93t-10+10=-5t+50+10\)

 

\(93t=-5t+60\)

 

\(93t+5t=-5t+60+5t\)

 

\(98t=60\)

 

\(\frac{98t}{98}=\frac{60}{98}\)

 

\(t=\frac{30}{49}\)

 

cheekycheekycheeky

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 Feb 12, 2021
edited by DewdropDancer  Feb 12, 2021

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