Can someone me out on how to do this and it is on substitution

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