Question

3 t-2/3 - 2t+3/3 =2/3 -t
PLEASE SLOVE SOON.
IT'S URGENT​ ( slove it step by step andthe answer is 7/5) ​

Answer 1

Answer:

$\boxed{t = \frac{7}{4} }$

Step-by-step explanation:

$Solve \: for \: t: \\ = > \frac{3t - 2}{3} - \frac{2t + 3}{3} = \frac{2}{3} - t \\ \\ \frac{3t - 2}{3} - \frac{2t + 3}{3} = \frac{(3t - 2) + ( - 2t - 3)}{3} : \\ = > \boxed{\frac{(3t - 2) + ( - 2t - 3)}{3}} = \frac{2}{3} - t \\ \\ Grouping \: like \: terms, \: 3t - 2t - 3 - 2 = \\ (3t - 2t) + ( - 2 - 3): \\ = > \frac{(3t - 2t) + ( - 2 - 3)}{3} = \frac{2}{3} - t \\ \\ 3t - 2t = t: \\ = \frac{ \boxed{t} + ( - 2 - 3)}{3} = \frac{2}{3} - t \\ \\ - 2 - 3 = - 5: \\ = > \frac{t + \boxed{ - 5}}{3} = \frac{2}{3} - t \\ \\ Put \: each \: term \: in \: \frac{2}{3} - t \: over \: the \: common \\ denominator \: 3: \: \frac{2}{3} - t = \frac{2}{3} - \frac{3t}{3} : \\ = > \frac{t - 5}{3} = \boxed{\frac{2}{3} - \frac{3t}{3}} \\ \\ \frac{2}{3} - \frac{3t}{3} = \frac{2 - 3t}{3} : \\ = > \frac{t - 5}{3} = \boxed{\frac{2 - 3t}{3} }$

$\\ Multiply \: both \: sides \: by \: 3: \\ = > \frac{(t - 5)}{ \cancel{3}} \times \cancel{3} = \frac{(2 - 3t)}{ \cancel{3}} \times \cancel{3} \\ = t - 5 = 2 - 3t \\ \\ Add \: 3 t \: to \: both \: sides: \\ = > \boxed{3t} + t - 5 = ( \boxed{3t} - 3t) + 2 \\ \\ 3t - 3t = 0 : \\ = > 3t + t - 5 = 2 \\ \\ t + 3t = 4t: \\ = > \boxed{4t} - 5 = 2 \\ \\ Add \: 5 \: to \: both \: sides: \\ = > 4t + ( \boxed{5} - 5) = \boxed{5} + 2 \\ \\ 5 - 5 = 0 : \\ = > 4t = 2 + 5 \\ \\ 2 + 5 = 7 : \\ = > 4t = \boxed{7} \\ \\ Divide \: both \: sides \: of \: 4t = 7 \: by \: 4: \\ = > \frac{4t}{4} = \frac{7}{4} \\ \\ \frac{4}{4} = 1 : \\ = > t = \frac{7}{4}$