How do you solve #12/x+3/4=3/2#?

1 Answer
Feb 23, 2016

Answer:

# x = 16#

Explanation:

Generally when solving a problem like this one I choose to multiply all terms by a common denominator. In this case the common denominator is # 4x#.
# (4x)( 12/x +3/4 = 3/2)#

#48 +3x = 6x#

#48 = 3x#

#16 = x#

There is another approach to solving this problem, and that is to subtract #3/4# from each side of the equation first.
#12/x + 3/4 - 3/4 = 3/2 -3/4#

#12/x = 6/4 -3/4#

#12/x = 3/4#

Now this is a simple ratio which can be solved by cross multiplying.

#48 = 3x#

#16 = x#