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| = 15/3` ⇒
`\boxed`


`\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}`