Answer:
(4,0)
Step-by-step explanation:
So we have the system of equations:
[tex]y=-2x+8\\y=x-4[/tex]
To solve, we can use substitution.
Substitute the second equation into the first. So:
[tex]x-4=-2x+8[/tex]
Add 2x to both sides. The right cancels:
[tex]3x-4=8[/tex]
Add 4 to both sides:
[tex]3x=12[/tex]
Divide both sides by 3:
[tex]x=4[/tex]
Now, let's substitute this back into the second equation to find y:
[tex]y=x-4[/tex]
Substitute 4 for x:
[tex]y=4-4[/tex]
Subtract:
[tex]y=0[/tex]
So, our solution is (4,0).
And we're done!
