Wednesday, November 4, 2015

Making Y the subject of equations:i) c=3m/2m+y ii) xy/x+y = k.I'm having trouble isolating the y pronumeral for both equations, so if you could...

I see you already have two answers, but I thought I would
give it a go anyways ;)


i)
c=3m/(2m+y)


The first step is to get y in the numerator
instead of the denominator.  We can do this by multiplying both sides by
(2m+y):


(2m+y)c =
3m(2m+y)/(2m+y)


On the right hand side of the equation you
can solve (2m+y)/(2m+y) = 1 to give:


(2m+y)c =
3m


Next you want to get y out of the brackets.  To do this
multiply c into the brackets:


2mc + yc =
3m


Now we can begin to isolate y.  Mvoing 2mc to the right
hand side of the equation changes its sign to negative:


yc
= 3m - 2mc


Now we can divide both sides the the equation by
c, and eliminate c/c = 1 on the left hand side of the
equation:


y = (3m - 2mc)/c


In
the above equation m can be factored out to give the final
answer:


y = m(3 -
2c)/c



ii) xy/(x+y) =
k


On first glance this one looks more complicated, but lets
follow a similar method as in i) and see what happens.  First, get rid of the
denominator by multiplying both sides by (x+y):


xy =
(x+y)k


Next, expand the right hand side of the
equation:


xy = kx+ky


Group all
variables containing the unknown y:


xy-ky =
kx


Factor out y:


y(x-k) =
kx


And finally, isolate
y:


y = kx /
(x-k)


When you are approached with questions
like this just remember, elimate fractions, expand, isolate, factor if necessary
;)

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