Question

Find the missing number so that the equation has no solutions.

__x+ 3 = 5x+19

Answer 1

5

Explanation:

The given equation is:__x+ 3 = 5x+19

Let the missing number be k, then

`kx + 3 = 5x + 19`

Combine like terms to get:

`kx - 5x = 19 - 3`

`(k - 5)x = 16`

For the equation to have no solution, the coefficient of x must be zero.

`k - 5 = 0`

`k = 5`

Therefore the missing number is 5