How do you solve #3/4x-4/9=7/18x-2/3#?

1 Answer
Mar 5, 2017

Answer:

#x=color(green)(-8/13#

Explanation:

#3/4x-4/9=7/18x-2/3#

#:.(27x-16=14x-24)/color(green)36#

#:.(27x)/color(green)36-16/color(green)36=(14x)/color(green)36-24/color(green)36#

multiply L.H.S and R.H.S. by# color(green)(36#

#:.27x-16=14x-24#

#:.27x-14x=-24+16#

#13x=-8#

#:.color(green)(x=-8/13#

check:

substitute #color(green)(x=-8/13#

#:.3/4(color(green)(-8/13))-4/9=7/18(color(green)(-8/13))-2/3#

#:.-24/52-4/9=-56/234-2/3#

#:.(-108-104=-56-156)/color(green)234#

#:.-108/color(green)234-104/color(green)234=-56/color(green)234-156/color(green)234#

multiply L.H.S and R.H.S. by# color(green)234#

#:.-108-104=-56-156#

#:.-212=-212#