Problem/4185 Lesson 4-7
3
8 Valerie, Henry, and Dave went to a snack bar and bought hot dogs. Henry
bought h hot dogs, Valerie bought two fewer hot dogs than Henry, and Dave
bought three more hot dogs than Henry. Write a simplified expression for
the total number of hot dogs they purchased.
hot dog(s)
solve it

So the first thing we do is to multiply the top equation by 3. the reason i want to do this is i notice there will be a 6y on both equations and can possibly add/subtract them. so we get 6y = -3x + 27. adding that and the second equation we get 6x = 27-15 which is 12. divide by 6 and we get 2. ∴ x = 2. substituting 2 into the first equation we get 2y = -2 + 9 which is 7. divide by 2 and we get 7/2. ∴ y = 7/2, x = 2.