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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