Question 953276
x=hot dog; y=hamburger
2x=y+$0.50
2x-$0.50=y
The equation above is what you were missing: you should try to finish on your own and use solution below to check.
5x+3y=$6.20 Substitute for y
5x+3(2x-$0.50)=$6.20
5x+6x-$1.50=$6.20 Add $1.50 to each side.
11x=$7.70 Divide each side by 11
x=$0.70 ANSWER 1: Hot dogs cost $0.70.
y=2x-$0.50=2($0.70)-$0.50=$1.40-$0.50=$0.90 ANSWER 2: Hamburgers cost $0.90.
CHECK:
5x+3y=$6.20 
5($0.70)+3($0.90)=$6.20
$3.50+$2.70=$6.20
$6.20=$6.20