How do you solve the absolute equation #abs(x+ 1/3)=5/3#?

Question

1596 views around the world

You can reuse this answer
Creative Commons License

Answer 1 · 2015-03-31T13:35:46

#x= 4/3, x= -2#

#abs(x+1/3)= 5/3 means#

Either #x+1/3 =5/3#,...(i)
Or
# x+1/3= -5/3#.....(ii)

In the first case,

#x= 5/3-1/3#

#x = (5-1)/3#

#x=4/3#.

In the second case,

#x= -5/3-1/3 #

#x=(-5-1)/3#

#x= -6/3#

#x = -2#