For this equation, substitute y for 1/2x-5, since y=1/2x-5.
4x+2(1/2x-5)= 0
4x+x-10=0
Combine like terms.
5x-10= 0
Add 10 to both sides.
5x=10
Divide by 5.
x=2
Now, plug in x for y.
y=1/2(2)-5
y= 1-5
y=-4
(2,-4) <=== solution
We can check this by plugging it in.
4x+2y= 0
4(2)+2(-4)=0
8+2(-4)=0
8-8=0
0=0
This works.
I hope this helps!
~kaikers
