Question

solve 3t'-2/3+2t+3/2=t+7/6​

Answer 1

Step-by-step explanation:

3t+2t-t=7/6+2/3-3/2

4t=7+4/6-3/2

4t=11-9/6

4t=2/6

t=2/6×4

t=1/12. answer

Answer 2

$\frac{3t - 2}{3 + 2t} + \frac{3}{2} = \frac{t + 7}{6} \\ => \frac{2(3t - 2) + 3(3 + 2t)}{2(3 + 2t)} = \frac{t + 7}{6} \\ => \frac{6t - 4 + 9 + 6t}{6 + 4t} = \frac{t + 7}{6} \\ => \frac{12t + 5}{6 + 4t} = \frac{t + 7}{6} \\ => 72t + 30 = (6 + 4t)(t + 7) \\ => 72t + 30 = 6t + 42 + 4 {t}^{2} + 28t \\ => 4 {t}^{2} + 34t + 42 = 72t + 30 \\ => 4 {t}^{2} + 34t - 72t + 42 - 30 = 0 \\ => 4 {t}^{2} - 38t + 12 = 0 \\ = > 2 {t}^{2} - 19t + 6 = 0$