Molly placed two orders last week to Paneto's Pizzeria. In one order, she received 10 pizzas and 10 hero sandwiches for $137.50. In the other order, she received 15 pizzas and 8 hero sandwiches for $176.50. The price per item was not listed on the receipts. What is the price for one pizza, p, and one hero sandwich, h?

p= $9.50

h= $4.25

Step-by-step explanation:

First set up your equations:

10p+10h=137.50

15p+8h=176.50

Then choose one equation, and isolate either variable. I'm going to use the first equation and isolate p.

p+h=13.75  (divide by 10 on each side)

p=13.75-h

Now plug in the value for p into the second equation and evaluate

15(13.75-h)+8h=176.50

206.25-15h+8h=176.50

206.25-7h=176.50

29.75=7h

h=4.25

now plug in the value of h, (4.25) into any equation to find the value of p

10p+42.5=137.50

10p=95

p=9.5

h=4.25

each side has a different length.  

step-by-step explanation:

check above link.

graphically?   well, you graph them both, the solutions is where they both intersect each other, since there are two solutions, meaning they will meet twice, or namely the linear will run into the quadratic curve twice, and where they meet, those x,y coordinates are the solutions to the system.