The cost of a lunch of 1 pizza and 2 cups of coffee is $7. The cost of a lunch of 3 pizzas and 5 cups of coffee was $20 at the same cafe. How much will 1 pizza and 1 cup of coffee cost?

Thanks!

p+2c=7

3p+5c=20
Multiply the first equation by -3:
-3p-6c=-21
3p+5c=20
Add the equations together.
-c=-1
c=1, which means a cup of coffee is $1. Put this back into either equation to solve for p. p=5.
So 1 pizza and 1 cup of coffee would be $1+$5=$6/