sympy import symbols, Eq, solve

Define variables

a, b = symbols('a b')

Define the equations

eq1 = Eq(4a + 23b, 42) eq2 = Eq(23a + 159b, 278)

Solve the system of equations

solution = solve((eq1, eq2), (a, b)) solutionThe solutions for the variables $a$ and $b$ are:

$a = \frac{284}{107} \approx 2.654$ $b = \frac{146}{107} \approx 1.364$

Let me know if you'd like further details or clarifications!

Here are five related questions to explore further:

1. How can this solution method be generalized for other systems of linear equations?
2. What are the geometric interpretations of these solutions in a coordinate plane?
3. How does substitution differ from elimination in solving such systems?
4. Could this system be solved graphically, and what would it look like?
5. How do these values affect the context or problem where this system arises?

Tip: Always double-check your solutions by substituting them back into the original equations!