How do you solve abs(15-3x)=12?
1 Answer
Feb 21, 2017
Explanation:
There are 2 solutions to the equation.
"solving "15-3x=color(red)(+-)12
color(blue)"first solution"
"solve "15-3x=color(red)(+12) subtract 15 from both sides of the equation.
cancel(15)cancel(-15)-3x=12-15
rArr-3x=-3 divide both sides by - 3
(cancel(-3) x)/cancel(-3)=(-3)/(-3)
rArrx=1
color(blue)"second solution"
"solve "15-3x=color(red)(-12)
rArr-3x=-12-15=-27
rArrx=(-27)/(-3)=9
color(magenta)"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.
• x=1to|15-(3xx1)|=|12|=12larr" true"
• x=9 to|15-(3xx9)|=|-12|=12larr" true"
rArr" solutions are "x=1" or "x=9
