How do you solve #abs(5n+7)=23#?

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Answer 1 · 2017-09-08T09:22:05

The solutions are #S={-6,16/5}#

The absolute value is always positive

Therefore,

#|5n+7|=23#

#=>#, #(5n+7)=23# and #-(5n+7)=23#

#5n=23-7=16#, #=>#, #n=16/5#

and

#5n+7=-23#, #=>#, #5n=-23-7=-30#, #=>#, #n=-6#