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

Nov 19, 2016

The unknown value is 5.

#### Explanation:

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

$5 x - 11 = 5 x - 6 \text{ }$ leads to:

$- 11 = - 6 \text{ }$which can also be written as:

$0 = 5 \text{ } \leftarrow$ which is obviously false!

The unknown value is 5.