How do you solve #5| - 9n + 5| = 70#?

1 Answer
Jim G.
Aug 5, 2017

#n=-1" or "n=19/9#

Explanation:

#"the expression "-9n+5" inside the absolute value can be"#
#"positive or negative"#

#"divide both sides by 5"#

#cancel(5)/cancel(5)|-9n+5|=70/5#

#rArr|-9n+5|=14#

#rArr-9n+5=14" or "-(-9n+5)=14#

#•color(white)(x)-9n+5=14#

#"subtract 5 from both sides"#

#rArr-9n=9#

#rArrn=-1#

#•color(white)(x)-(-9n+5)=14#

#rArr9n-5=14#

#"add 5 to both sides"#

#rArr9n=19#

#rArrn=19/9#

#rArrn=-1" or "n=19/9" are the solutions"#

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