22.2k views
5 votes
If 3t-7=5t, then 6t =

User Nickcen
by
8.2k points

1 Answer

3 votes
The answer is: " -21 " .
__________________________________________
We are asked to solve for: "6t" ; which is: "6 * t" .
__________________________________________
Given: 3t − 7 = 5t ; Solve for "t" ; then solve for "6t" ;

3t − 7 = 5t ; Subtract "3t" from each side of the equation;
____________________________________________
3t − 7 − 3t = 5t − 3t ;

to get: -7 = 2t ;

Divide EACH side of the equation by "2" ; to isolate "t" on one side of the equation; and to solve for "t" ;

-7/2 = 2t / 2 ;

-3.5 = t ; ↔ t = - 3.5 ;
____________________________________________
Now, solve for "6t" ;

6 t = 6*(-3.5) = - 21 . The answer is: " -21 " .
____________________________________________
User Seyf
by
8.6k points