How do you solve abs(y+3)+4=20?
1 Answer
Jun 10, 2017
Explanation:
"Isolate " |y+3|" by subtracting 4 from both sides"
|y+3|cancel(+4)cancel(-4)=20-4
rArr|y+3|=16
"the expression inside the absolute value can be positive or"
"negative"
rArry+3=16toy=16-3=13larr(color(red)(1))" or "
-(y+3)=16
rArr-y-3=16to-y=16+3toy=-19larr(color(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.
y=13to|13+3|+4=|16|+4=16+4=20
y=-19to|-19+3|+4=|-16|+4=20
rArry=-19" or " y=13" are the solutions"
