How to solve the following equations? #1. 5+ x= 1/2-1/3'" "2. 1/4+x =1/2-1/3," "3. 1-1/2+m=3/4+1/2#

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Answer 1 · 2018-02-18T09:20:21

1) #x=-29/6#, 2) #x=-1/12#, 3) #m=3/4#

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Answer 2 · 2018-02-18T09:39:12

#1. x = -4 5/6#
#2. x = -1/12#

#3. m =3/4#

#1." " 5+ x= 1/2-1/3" "larr# find the common denominator

#5+x = (3-2)/6" "larr# make equivalent fractions.

#5 +x = 1/6#

#x = 1/6-5" "larr# each whole is made up of #6/6#

#x =-4 5/6" "larr# take one away. #(-4 6/6+1/6 = -4 5/6)#

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#2. 1/4+x =1/2-1/3#

#x = 1/6 -1/4" "larr# the LCD 12

#x = (2-3)/12#

#x = -1/12#

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3. You can do this one by knowing that:

#1/2 +1/2 =1" and "1/4+1/4 = 1/2#

It should not be necessary to find common denominators.

#color(blue)(1-1/2)+m=3/4color(red)(+1/2)#

#color(blue)(1/2) +m = 3/4color(red)(+1/4+1/4) = 1 1/4#

#m = 1 1/4 -color(blue)(1/2)#

#m = 1 1/4 -color(blue)(1/4-1/4)#

#m =3/4#