Question

How do I solve this equation? 3|13-2t|=15

Answer 1

/ 13 - 2t / = 15 ÷ 3 ;
/ 13 - 2t / = 5 ;
13 - 2t = + 5 or 13 - 2t = -5 ;
First equation, -2t = - 8; t = 4 ;
Second equation, -2t = - 18 ; t = 9 ;
The solutions are 4 and 9 .

Answer 2

$3 |13 - 2t | =15$ ⇒ $|13-2t| = 15\div3$ ⇒ $\boxed {|13-2t| = 5}$

$\hbox {We have two equations : 1. } |13-2t|=5$ 
                                               $2.|13-2t|=-5$

$\hbox{The first: }$ ⇒ $13-2t=5$ ⇒ $2t=13-5$ ⇒ $2t=8$ ⇒ $\boxed {t=4}$

$\hbox { The second: } 13-2t=-5$ ⇒ $2t=13-(-5)=18$ ⇒ $\boxed {t=9}$