from sympy import symbols, Eq, solve

Define variables

x, y, z = symbols('x y z')

Define equations

eq1 = Eq(-4x + 5y + 8z, 6) eq2 = Eq(2x + 9y + 3z, -8) eq3 = Eq(-8x - 10y + 9*z, 0)

Solve the system of equations

solution = solve((eq1, eq2, eq3), (x, y, z)) solution{x: -7, y: 2, z: -4}{x: -7, y: 2, z: -4}successThe solution to the given system of equations is:

$x = -7, \quad y = 2, \quad z = -4$

Would you like a step-by-step explanation of how this solution was derived?

Here are 5 questions you might consider exploring next:

1. How can I solve a similar system of equations with more variables?
2. What are some real-world applications of solving systems of linear equations?
3. How can I graphically interpret the solution of this system of equations?
4. What methods exist for solving systems of equations other than substitution or elimination?
5. How do I determine if a system of equations has no solution or infinitely many solutions?

Tip: When solving systems of equations, consider the determinant of the coefficient matrix to check for uniqueness of solutions.