How do you solve the equation #abs(9x-2)=7#?

1 Answer

Answer:

#x=1, -5/9#

Explanation:

Consider #absx=3#. #x# can be 3 but it can also be #-3#. And so when evaluating absolute value questions, we need to evaluate positive and negative values.

Positive

#abs(9x-2)=7#

#9x-2=7#

#9x=9#

#x=1#

Negative

#abs(9x-2)=7#

#-(9x-2)=7#

#-9x+2=7#

#-9x=5#

#x=-5/9#

and we can see this on the graph:

graph{(y-abs(9x-2))(y-0x-7)=0 [-9.58, 10.42, -0.96, 9.04]}