We can solve the system of equations using the method of subtraction, which involves eliminating one variable by adding or subtracting two equations.
To use this method, we need to choose one variable to eliminate. In this case, we can eliminate the variable "x" by multiplying the first equation by 2 and the second equation by -1, and then adding the two resulting equations. This will give us an equation in terms of "y" that we can solve, and then use the solution to find the value of "x".
Here are the steps:
Multiplying the first equation by 2, we get:
2x - 12y = 22
Multiplying the second equation by -1, we get:
-2x + 5y = -1
Adding the two resulting equations, we get:
-7y = 21
Dividing both sides by -7, we get:
y = -3
Now that we have solved for "y", we can substitute this value back into either of the original equations to find the value of "x". Let's use the first equation:
x - 6y = 11
x - 6(-3) = 11
x + 18 = 11
Subtracting 18 from both sides, we get:
x = -7
Therefore, the solution to the system of equations using the method of subtraction is:
x = -7 and y = -3.