How do you solve #abs(y+3)+4=20#?

1 Answer
Jun 10, 2017

Answer:

#y=-19" or " y=13#

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"#