Respuesta :

For this case we have that by definition, a function is of the form:

[tex]y = f (x)[/tex]

So, we have the following system of equations:

[tex]y = -6x + 2\\y = -2x + 4[/tex]

Equating the equations we have:

[tex]-6x + 2 = -2x + 4[/tex]

Adding 2x to both sides of the equation:

[tex]-6x + 2x + 2 = 4\\-4x + 2 = 4[/tex]

Subtracting 2 from both sides of the equation:

[tex]-4x = 4-2\\-4x = 2[/tex]

Dividing between -4 on both sides of the equation:

[tex]x = \frac {2} {- 4}\\x = - \frac {1} {2}[/tex]

Thus, the value of the variable "x" is -0.5.

Answer:

-0.5

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