sympy import symbols, Eq, solve

Define variables

x, y = symbols('x y')

Define equations for problem 20

eq1 = Eq(3y + 4x, 3) eq2 = Eq(x + 3*y, -6)

Solve the system of equations

solution = solve((eq1, eq2), (x, y)) solutionThe solution to the system of equations in problem 20 is:

$x = 3 \quad \text{and} \quad y = -3$

Would you like me to provide a detailed explanation of how the solution was derived?

Here are some related questions to expand your understanding:

1. What is the graphical interpretation of solving a system of linear equations?
2. How can substitution be used to solve a system of equations instead of elimination?
3. How do you verify the solution of a system of equations?
4. Can systems of equations always be solved by graphing? Why or why not?
5. What does it mean if a system of equations has no solution or infinitely many solutions?

Tip: Always check your solution by substituting the values back into the original equations to ensure they satisfy both equations.