Final answer:
To solve the given system of equations using matrices, we can find the inverse of the coefficient matrix and multiply it by the constant matrix to obtain the values of x and y.
Step-by-step explanation:
To solve the system of equations -8x + 2y = -8 and 16x + 6y = -24 using matrices, we can represent the system in matrix form as:
[[-8, 2], [16, 6]] * [x, y] = [-8, -24]
To solve for x and y, we can find the inverse of the coefficient matrix, multiply it by the constant matrix, and multiply the result by the variables matrix:
x = [1, -1] * [-8, -24] / -40 = 1
y = [2, -8] * [-8, -24] / -40 = -2