Avet treats dogs (d), cats (c), birds (b), hamsters (h), and reptiles (r). a veterinary assistant randomly selects a patient’s file.

what is the sample space for this experiment?

s = {d}

s = {d, b, h}

s = {c, b, h, r}

s = {d, c, b, h, r}

What can we do about 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.