In 2005 there were 14000 students at college A, with a projected enrollment increase of 750 students per year. In the same year there were 35000 students at college B with a projected enrollment decline of 1000 students per year. According to these projectors when will the colleges have the same enrollment? What will be the enrollment in each college at that time

Answer:  in 12 years (2017)                23,000 students enrolledStep-by-step explanation:Let x represent the number of years since 2005.Let y represent the number of students enrolled.College A: y = 14,000 + 750xCollege B: y = 35,000 - 1000xSolve the system using the Substitution Method:14,000 + 750x = 35,000 - 1000x            +1000x               +1000x14,000  + 1750x = 35,000-14,000                 -14,000                 1750x = 21,000                         x = 12Input x = 12 into one of the equations to solve for y.y = 35,000 - 1000x   = 35,000 - 1000(12)   = 35,000 - 12,000   = 23,000