How do you solve #3| 20- 9m | + 4= 25#?

2 Answers
Pankaj Solanki
Sep 17, 2017

#m=13/9 or m=3#

Explanation:

#3|20-9m|+4=25#
#3|20-9m|=25-4=21#
#|20-9m|=21/3=7#
then either #(20-9m)=7 or (20-9m)=-7#
either #(20-7)=9m or (20+7)=9m#
either #13=9m or (27)=9m#
either #m=13/9 or m=3#

Pankaj Solanki
Sep 17, 2017

#m=13/9 or m=3#

Explanation:

#3|20-9m|+4=25#
#3|20-9m|=25-4=21#
#|20-9m|=21/3=7#

Using Modulus Property that in #|x| #, #x# can be positive or negative.

then either #(20-9m)=7 or (20-9m)=-7#
either #(20-7)=9m or (20+7)=9m#
either #13=9m or (27)=9m#
either #m=13/9 or m=3#

Related questions
Impact of this question
1095 views around the world
You can reuse this answer
Creative Commons License