How do you find the missing number so that the equation #?x-11=5x-6# has no solutions?

1 Answer
Nov 19, 2016

The unknown value is 5.


To have an equation which has no solutions, you need to end up with a false statement, and no variable.

If there are no variables left, it means they need to be equal on each side, so they cancel each other out.

#?x-11 = 5x-6#

#5x-11 = 5x-6" "# leads to:

#-11 = -6" " #which can also be written as:

#0 = 5" "larr# which is obviously false!

The unknown value is 5.