Questions: Solve the given linear system of equations: 8x - 2y = 4 -12x + 3y = 12 Enter your answer in the form of an ordered pair (x, y). If the system contains no solutions, enter DNE. If the system contains infinite solutions, enter oo.

Solution Steps

To solve the given system of linear equations, we can use matrix operations or substitution/elimination methods. Here, we will use the numpy library in Python to solve the system by representing it in matrix form and then using numpy's linear algebra solver.

The given system of linear equations is: \[ \begin{cases} 8x - 2y = 4 \\ -12x + 3y = 12 \end{cases} \]

We can represent the system in matrix form as: \[ A = \begin{bmatrix} 8 & -2 \\ -12 & 3 \end{bmatrix}, \quad B = \begin{bmatrix} 4 \\ 12 \end{bmatrix} \]

Upon solving the system, we find: \[ x \approx -2.7022 \times 10^{16}, \quad y \approx -1.0809 \times 10^{17} \]

Final Answer