Sonoma bikes 5 miles to Paige’s house. On a map, they measure that distance as 5 sixths , cente meters . The same map shows that the mall is 3 u 2 , 1 half , cente meters from Paige’s house. What is the actual distance between Paige’s house and the mall?

paul's with a y-intercept of $ 2856

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.