To solve this system of equations using technology, we can use matrix methods. First, we'll put the coefficients of the variables into a matrix, and then we'll put the constants into another matrix.
Coefficient matrix:
[[6, -2],
[4, 4]]
Constant matrix:
[[12],
[-24]]
Then, we find the inverse of the coefficient matrix and multiply it by the constant matrix. The resulting matrix will give us the values of x and y.
Inverse of coefficient matrix:
[ [1/8, 1/8],
[ -1/16, 3/16] ]
Solution matrix:
[[3],
[-9]]
Therefore, x = 3 and y = -9.