How do you solve and check #(n-11)/4 + (n+4)/9 = 17/18#?

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Answer 1 · 2016-01-27T15:51:14

#n=39#

#color(blue)("Step 1")#

#color(brown)("Collecting like terms")#

Write as: #n/4-11/4+n/9+4/9color(white)(..)=color(white)(..)17/18#

#n/4+n/9color(white)(..)=color(white)(..)17/18+11/4-4/9#

'~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~
#color(blue)("Step 2")#

#color(brown)("Solving for n")#

#(9n+4n )/36color(white)(..) =color(white)(..) 13/4#

#13ncolor(white)(..)= color(white)(..)(36xx13)/4color(white)(..) =color(white)(..)117#

#n=117/13= 39#