aeggley aeggley
  • 18-10-2019
  • Mathematics
contestada

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

__x+ 3 = 5x+19

Respuesta :

kudzordzifrancis
kudzordzifrancis kudzordzifrancis
  • 19-10-2019

Answer:

5

Step-by-step explanation:

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

Let the missing number be k, then

[tex]kx + 3 = 5x + 19[/tex]

Combine like terms to get:

[tex]kx - 5x = 19 - 3[/tex]

[tex](k - 5)x = 16[/tex]

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

[tex]k - 5 = 0[/tex]

[tex]k = 5[/tex]

Therefore the missing number is 5

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