For this case we have a system of two equations with two variables:
[tex]y = -x-6\\y = x-4[/tex]
Equaling the equations we have:
[tex]-x-6 = x-4[/tex]
Adding x to both sides of the equation we have:
[tex]-6 = x + x-4\\-6 = 2x-4[/tex]
Adding 4 to both sides of the equation we have:
[tex]-6 + 4 = 2x\\-2 = 2x[/tex]
Dividing 2 on both sides of the equation we have:
[tex]x = \frac {-2} {2}\\x = -1[/tex]
We find the value of the variable y:
[tex]y = x-4 = -1-4 = -5[/tex]
Thus, the system solution is:
[tex](x, y): (- 1, -5)[/tex]
Answer:
[tex](x, y): (- 1, -5)[/tex]
