Tuition for one year at the University of Shangri-La costs $19,200 per year. Caroline would like to attend this university and will save money each month for the next 5 years. Her parents will contribute 20% for her first year's tuition. How much money will Caroline need to save each month to have enough money for the first year of college at the University of Shangri-La?

The writing is like bold so i can’t see it well

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.

Iam unsure about what the proof is, therefore as much as wish to i can not.