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