Question

Complete the equation so that it is

true for no values of x (no solutions).
3x + 6 = 3 (x + _)

Answer 1

Any number other than 2

Explanation:

Well if we plug in any number other than 2 like 1 for the blank and distribute,

the right side becomes,

3x + 6 = 3x + a number other than 6

Parallel lines have the same slope but different y intercept.

Look at the image below ↓

Thus,

to make the equation have no solution the blank has to be any number other than 2.

Hope this helps :)