Here is an equation: 4x−4=4x+__. What could you write in the blank so the equation would be true for:

No values of x
All values of x
One value of x

Answer:

here

Step-by-step explanation:

23

-4

-4x

Write 21 in the blank for no values of x, write -4 in the blank for all the values of x and write -4x in the blank for one value of x.

Given-

Equation given in the problem is,

[tex]4x-4=4x+[/tex]___

In the given equation there is one variable [tex]x[/tex] which is unknown.

         [tex]4x-4=4x+23[/tex]

         [tex]4x-4x=21+4[/tex]

        [tex]0=25[/tex]

        It will work for no value of x.  

        [tex]4x-4=4x+(-4)[/tex]

        It will work for any odd value of [tex]x[/tex].

       [tex]4x-4=4x-4x[/tex]

       [tex]4x-4=0[/tex]

       [tex]x=1[/tex]

      Here we get one single solution.

Hence Write 21 in the blank for no values of x, write -4 for all the values of x and write -4x in the blank for one value of x.

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