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

Question

3671 views around the world

You can reuse this answer
Creative Commons License

Answer 1 · 2016-11-19T07:36:20

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.