If #2x+3y=1#, what is #x/2+y/3# in terms of y?

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Answer 1 · 2016-10-24T08:45:53

#(3-5y)/12#

Note that as a fraction question is asked, a fraction answer should be given.

The phrase " in terms of " means "using".

A fraction is given, but it contains both #x and y# variables, we only want #y#.

From the equation which is given, #2x+3y = 1#, we can find an expression for x "in terms of " y.

#2x = 1-3y" "rarr x = (1-3y)/2#

Replace #x# with this fraction in #x/2 +y/3#

#((1-3y)/2) div 2 +y/3#

=#(1-3y)/4 +y/3" "larr# find the LCD

=#(3(1-3y) +4y)/12#

=#(3-9y +4y)/12#

=#(3-5y)/12#