Solve the system of equations. 2.5y + 3x = 27 5x – 2.5y = 5 What equation is the result of adding the two equations? What is the solution to the system?

Answer:The solution to this system is (4, 1/6).Step-by-step explanation:Please separate these two equations for clarity.  I like to write them in column format:2.5y + 3x = 27 5x – 2.5y = 5--------------------- 8x           = 32, and x = 4.Subbing 4 for x in the second equation yields 5(4) - 2.5y = 5.Then 20 - 2.5y = 5, or 15 = 2.5y.  Solving for y, we get y = 1/6.The solution to this system is thus (4, 1/6).