Answer:
(-6, -8)
Step-by-step explanation:
We have the following system of equations:
[tex]y = 2x+4[/tex] (1)
and
[tex]y=x-2[/tex] (2)
Set (1) = (2) since the LHS is y in both
We get
[tex]2x + 4 = x - 2[/tex]
Subtract x from both sides:
[tex]2x + 4 - x = x - 2 -x[/tex]
[tex]x + 4 = -2[/tex]
Subtract 4 from both sides
[tex]x + 4 - 4 = -2 -4[/tex]
[tex]x = -6[/tex]
Substitute for x in Equation (2) to get
[tex]y = -6 - 2 = -8[/tex]
So the solution is (-6, -8)
