How do you solve the equation #2/7k-1/14k=-3#?

1 Answer
Mar 29, 2018

Answer:

Raise all fractional coefficients to the lowest common denominator and combine to find #k=-14#

Explanation:

The first thing we want to do is make sure both of #k#'s coefficients have the same denominator. Once this is done, we can add the coefficients together:

#2/7k-1/14k=k(2/7-1/14)=-3#

#k(2/7*2/2-1/14)=k(4/14-1/14)=-3#

#3/14k=-3#

Finally, we'll divide through by #k#'s coefficient to find our solution. Remember, when you divide by a fraction, you can simply multiply by its inverse to get the same effect!

#cancel(3/14xx14/3)k=-cancel(3)xx14/cancel(3)#

#rArr k=-14#