How do you solve #(5k-2)/-4=(2-5k)/4#?
See a solution process below:
First, both fractions need to be over common denominators. We can multiply the fraction on the left by the appropriate form of
Because both sides of the equation are exactly the same
There is only one fraction on each side of the equal sign, so this means we can cross-multiply. However this gives an interesting result:
The two sides of the equation are identical.
If we continue to solve we will end up with
This is a true statement but there is no
This is the indication that it is an identity - an equation which will be true for any value of
Look at the original equation again:
Now we have
The two sides are identical and therefore cannot be solved for a unique value of