How do you solve #-1+x=1/3#?

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Answer 1 · 2016-07-28T18:37:27

#x=4/3#

#color(red)("Using first principles method")#

Given:#" "color(brown)(-1+x=1/3)#

Add 1 to both sides

#color(brown)(-1color(blue)(+1)+x=1/3color(blue)(+1))#

But #-1+1=0" and "1/3+1=1/3+3/3=4/3#

#=0+x=4/3#

#x=4/3#

'~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~
#color(red)("Using shortcut method")#

move the #-1# to the other side of the = and change its sign

#color(brown)(-1+x=1/3)color(blue)(" "->" "x=1/3+1)#

But 1 is the same as #3/3#

#x=1/3+3/3=4/3#