Final answer:
To solve the system of equations using elimination, multiply the equations by appropriate factors to eliminate a variable and then solve for the remaining variable.
Step-by-step explanation:
To solve the system of equations using the elimination method, we need to eliminate one variable by adding or subtracting the equations. In this case, we can eliminate y by multiplying the first equation by 6 and the second equation by -1. This gives us 6x - 6y = 66 and -5x - 6y = 44. Adding these equations gives us x = 22. Substituting this value back into the first equation gives us y = 11 - x = 11 - 22 = -11.