if y = 3x-2/4+x, which of the following is equal to x ?

1 Answer
Jim G.
Nov 18, 2017

#x=(-2(1+2y))/(y-3)#

Explanation:

#"assuming x in terms of y is required"#

#y=(3x-2)/(4+x)#

#"multiply both sides by "(4+x)#

#y(4+x)=cancel((4+x))xx(3x-2)/cancel((4+x))#

#rArr4y+xy=3x-2#

#"collect terms in x on one side and all other terms"#
#"on the other side"#

#"subtract "3x" from both sides"#

#4y+xy-3x=cancel(3x)cancel(-3x)-2#

#"subtract "4y" from both sides"#

#cancel(4y)cancel(-4y)+xy-3x=-2-4y#

#rArrxy-3x=-2(1+2y)#

#rArrx(y-3)=-2(1+2y)#

#"divide both sides by "(y-3)#

#(xcancel((y-3)))/cancel((y-3))=(-2(1+2y))/(y-3)#

#rArrx=(-2(1+2y))/(y-3)#

#"with restriction on the denominator "y!=3#

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