# How do you solve #abs(2g-5)=9#?

##### 2 Answers

#### Explanation:

Due to how

#### Explanation:

#"the expression inside the absolute value bars can be"#

#"positive or negative thus there are 2 possible solutions"#

#2g-5=9larrcolor(magenta)"positive value"#

#"add 5 to both sides and divide by 2"#

#rArr2g=9+5=14rArrg=14/2=7#

#-(2g-5)=9larrcolor(magenta)"negative value"#

#rArr-2g+5=9#

#"subtract 5 from both sides and divide by "-2#

#rArr-2g=9-5=4rArrg=4/(-2)=-2#

#color(blue)"As a check"# Substitute these values into the left side of the equation and if equal to the right side then they are the solutions.

#g=7to|14-5|=|9|=9#

#g=-2to|-4-5|=|-9|=9#

#rArrg=-2" or "g=7" are the solutions"#