In a class of 150 students, 95 are taking math (M), 77 are taking science (S), and 53 are taking both math and science. One student is picked at random. Find the probability.


P(taking math or science or both)=

(Round to three decimal places as needed.)

All my points ;c

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.