How do you solve abs(11+2x)=5?
1 Answer
May 23, 2018
Explanation:
"the expression inside the absolute value bars can be"
"positive or negative hence there are 2 possible solutions"
color(magenta)"positive expression"
11+2x=5
"subtract 11 from both sides and divide by 2"
2x=5-11=-6rArrx=(-6)/2=-3
color(magenta)"negative expression"
-(11+2x)=5larr"distribute"
-11-2x=5
"add 11 to both sides and divide by "-2
-2x=5+11=16rArrx=16/(-2)=-8
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.
x=-3to|11-6|=|5|=5
x=-8to|11-16|=|-5|=5
x=-8" or "x=-3" are the solutions"
