Question

Solve the system using substitution.

Answer 1

q=2p+1
subsitute 2p+1 for q in other eqaution


4p+2q=8
4p+2(2p+1)=8
4p+4p+2=8
8p+2=8
minus 2 both sides
8p=6
divide both sides by 8
p=6/8
p=3/4
sub back
q=2p+1
q=2(3/4)+1
q=6/4+1
q=3/2+1
q=3/2+2/2
q=5/2


p=3/4
q=5/2