Question 159784
4p+2q=8
  Substitute q=2p+1 in the equation above

4p+2(2p+1)=8
Use the distributive property

4p+4p+2=8
8p+2=8
Subtract 2 from both sides
8p=6
divide both sides by 8
p=6/8 or 3/4

Plug p in to get the value for q
q=2(3/4)+1=3/2+2/2=5/2

Plug in p and q values into the equation
4(3/4)+2(5/2)=8

After cancelling terms you get

3+5=8