Answer:
The solution is (2, 1/2).
Step-by-step explanation:
The question is asking you to solve a system of equations using elimination. The elimination method means that when you add the two equations together, one of the variables will be eliminated so that you are able to solve for the other variable. In this case, if we multiply the first equation (6/x - 2/y = -1) by a factor of 2 we get: (12/x - 4/y = -2). We can then add the two equations together to eliminate the 'y' variable and solve for x using inverse operations. When we add (12/x - 4/y = -2) + (2/x + 4/y = 9) = (14/x = 7) or x = 2. In order to solve for 'y', we must now plug in the value of x = 2 into one of the equations and solve for 'y'. So, 2/2 + 4/y = 9 becomes 1 + 4/y = 9. Using inverse operations, be subtract 1 from both sides and then multiply to get y = 1/2.
