How do you solve #abs(2x - 6) = 12#?
2 Answers
Apr 8, 2018
Explanation:
Apr 8, 2018
Explanation:
#"the expression inside the absolute value can be positive"#
#"or negative, thus there are 2 possible solutions"#
#color(magenta)"Positive value"#
#2x-6=12#
#"add 6 to both sides"#
#rArr2x=18rArrx=9#
#color(magenta)"Negative value"#
#-(2x-6)=12#
#rArr-2x+6=12#
#"subtract 6 from both sides"#
#rArr-2x=6#
#"divide both sides by "-2#
#rArrx=-3#
#color(blue)"As a check"# Substitute these values into the left side and if equal to the right side then they are the solutions.
#|(2xx-3)-6|=|-6-6|=|-12|=12#
#rArrx=-3" or "x=9" are the solutions"#