How do you solve 12/7=36/m127=36m?

1 Answer
Alan P.
Mar 19, 2017

color(green)(m=21)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 3636 is 12 xx 312×3.

If we multiply the Left Side by 3/333 (equivalent to multiplying by 11)
we get:
color(white)("XXX")12/7 xx 3/3 =36/21XXX127×33=3621

and our original equation
color(white)("XXX")12/7=36/mcolor(white)("XX")XXX127=36mXXbecomescolor(white)("XX")36/21=36/mXX3621=36m
with the implication that
color(white)("XXX")m=21XXXm=21

Related questions
See all questions in Rational Equations Using Proportions
Impact of this question
2867 views around the world
You can reuse this answer
Creative Commons License