Question

3|4w-1|-5=10
Please help meee!

Answer 1

`w=(3)/(2) ,-1`

Explanation:

`3|4w-1|-5=10\\\\3|4w-1|=10+5\\\\3|4w-1|=15\\\\|4w-1|=5\\\\`

here we have two cases

the number that give an absolute value of 5 are 5 and -5

so we have

`4w-1=5\\\\4w=5+1\\\\4w=6\\\\w=(3)/(2)`

and the other case

`4w-1=-5\\\\4w=-5+1\\\\4w=-4\\\\w=-1`