Question

Y = - x - 6y = x - 4​

Answer 1

For this case we have a system of two equations with two variables:

$y = -x-6\\y = x-4$

Equaling the equations we have:

$-x-6 = x-4$

Adding x to both sides of the equation we have:

$-6 = x + x-4\\-6 = 2x-4$

Adding 4 to both sides of the equation we have:

$-6 + 4 = 2x\\-2 = 2x$

Dividing 2 on both sides of the equation we have:

$x = \frac {-2} {2}\\x = -1$

We find the value of the variable y:

$y = x-4 = -1-4 = -5$

Thus, the system solution is:

$(x, y): (- 1, -5)$

Answer:

$(x, y): (- 1, -5)$