Question

Y = - x - 6
y = 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)`