Question

3(t-3)=5(2t-1) this also I want to know the answer

Answer 1

by simple mathematics

Answer 2

Answer :


The value of the is ( - 4 / 7 ).


Step-by-step explanation :


3 ( t - 3 ) = 5 ( 2t - 1 )


⇒ 3( t ) - 3( 3 ) = 5 ( 2t ) - 5 ( 1 )


⇒ 3t - 9 = 10t - 5


⇒ 3t - 10t = - 5 + 9


⇒- 7t = 4


⇒ t = - 4 /7


Hence, the value of t is ( - 4 /7 ).

Verification :

$\tt 3(t - 3) = 5(2t - 1) \\ \\ \tt 3 \{( \frac{ - 4}{7} ) - 3 \} = 5 \{ 2( \frac{ - 4}{7} - 1) \} \\ \\ \tt 3( \frac{ - 4 - 21}{7} ) = 5( \frac{ - 8}{7} - 1) \\ \\ \tt 3 (\frac{ - 25}{7} ) = 5( \frac{ - 15}{7} ) \\ \\ \tt \frac{ - 75}{7} = \frac{ - 75}{7}$

Hence, the value of t is ( - 4 / 7 )