Question #60c7e
1 Answer
Mar 1, 2017
Explanation:
Isolate the
#color(blue)"absolute value function"# divide both sides of the equation by - 3
#(cancel(-3)|2x+6|)/cancel(-3)=(-12)/(-3)#
#rArr|2x+6|=4# The absolute value can have a
#color(blue)"positive or negative"# solution.
#rArr"solve "2x+6=color(red)(+-)4#
#• 2x+6=color(red)(+4)# subtract 6 from both sides.
#2xcancel(+6)cancel(-6)=4-6#
#rArr2x=-2# divide both sides by 2
#(cancel(2) x)/cancel(2)=(-2)/2#
#rArrx=-1tocolor(red)((1))#
#• 2x+6=-4#
#rArr2x=-10#
#rArrx=(-10)/2=-5tocolor(red)((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.
#• -3|-2+6|=-3|4|=-3xx4=-12#
#• -3|-10+6|=-3|-4|=-3xx4=-12#
#rArrx=-1" or "x=-5" are the solutions"#
