How do you solve #12/7=36/m#?

1 Answer
Alan P.
Mar 19, 2017

#color(green)(m=21)#

Explanation:

There are several ways to solve this, but since it was asked under "Rational Equations Using Proportions" let's approach it that way.

Notice that #36# is #12 xx 3#.

If we multiply the Left Side by #3/3# (equivalent to multiplying by #1#)
we get:
#color(white)("XXX")12/7 xx 3/3 =36/21#

and our original equation
#color(white)("XXX")12/7=36/mcolor(white)("XX")#becomes#color(white)("XX")36/21=36/m#
with the implication that
#color(white)("XXX")m=21#

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