Question

5t+7/2=3t-14/2 solve the equation​

Answer 1

Given:

5t+7/2=3t-14/2.

To Find:

The value of t

Solution:

$\sf: \implies 5t + \frac{7}{2} = 3t - \frac{14}{2} \: \: \: \: \\ \\ \sf: \implies \frac{10t}{2} + \frac{7}{2} = \frac{6t}{2} - \frac{14}{2} \\ \\ \sf: \implies \frac{10t + 7}{2} = \frac{6t - 14}{2} \: \: \\ \\ \sf: \implies 6t - 14 = 10t + 7 \: \: \\ \\ \sf: \implies 6t - 10t = 7 + 14 \: \: \\ \\ \sf: \implies - 4t = 28 \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \\ \\ \sf : \implies t = \frac{28}{ - 4} \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \\ \\ \sf: \implies t = - 7 \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \:$

hope this helps.!