Question

Consider this system of equations.

Answer 1

We are given two functions.

$f(x)=x-4\\g(x)=-x-2$

The point that represents the equation $f(x)=g(x)$, will also be the intersection of those two lines, meaning we can set the two equations equal to each other and solve for $x$.

$f(x)=g(x)\\x-4=-x-2\\2x=2\\x=1$

Now that we are given the x value, we can plug this value back into either equation and solve for the y value.

$f(1)=1-4\\f(1)=-3$

The point of intersection will be $(1,-3)$.

Hope this helps!

Answer 2

Answer:

x=-1

Step-by-step explanation:

x-4=-x-2

x+x=-2+4

2x=-2

x=-1