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

Question

1519 views around the world

You can reuse this answer
Creative Commons License

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#