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"
