Explanation
This expression looks like something we should simplify,
but we probably don't want to cross-multiply, since m is already on the left side of the equation and it's what we want
to find. We can manipulate the fraction on the right by multiplying by
and then
:
So we have solved for m in terms of the variables y and
n, but we want to know its value. On
to the statements, separately first.
Statement (1) gives us y
in terms of n. If we substitute
for y in the expression above, we'll
have a fraction in which the n's cancel and we are left with a value. We had only two
equations for three variables, but fortuitous algebra allows us to solve for m. Therefore,
Statement (1) is sufficient.
Statement (2) gives us the value of n. If we plug this into the expression above, we are left with a definition
of m in terms of y, so we don't have a specific value. Statement (2) is
insufficient.
The correct answer is (A).
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