How do you solve abs(4x+1)=11?
3 Answers
Explanation:
Explanation:
"the expression inside the bars of the absolute value can"
"be positive or negative"
color(blue)"Positive value"
4x+1=11
rArr4x=11-1=10
rArrx=10/4=5/2
color(blue)"Negative value"
-(4x+1)=11
rArr-4x-1==11
rArr-4x=11+1=12
rArrx=12/(-4)=-3
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.
|(4xx5/2)+1|=|11|=11=" right side"
|(4xx-3)+1|=|-11|=11=" right side"
rArrx=-3" or "x=5/2" are the solutions"
Explanation:
The lines are just saying absolute value which is the distance from zero. So all you have to do is get rid of those...
subtract 1 from both sides and get...
then, divide 4 on both sides and you get