The image contains a system of linear equations with fractions:

1. $\frac{1}{2}x - \frac{1}{3}y = -8$
2. $3x - \frac{1}{5}y = \frac{3}{5}$

Let's solve this system step by step. sympy import symbols, Eq, solve

Define variables

x, y = symbols('x y')

Define the equations

eq1 = Eq((1/2)*x - (1/3)y, -8) eq2 = Eq(3x - (1/5)*y, 3/5)

Solve the system of equations

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

$x = 2, \quad y = 27$

Would you like a detailed explanation of the solving process or assistance with related questions?

Follow-up Questions:

1. How do you eliminate fractions from the equations before solving?
2. Can you explain substitution and elimination methods for solving systems of equations?
3. How do you verify that a solution satisfies both equations?
4. Can we graph this system of equations to visualize the solution?
5. How does the presence of fractions affect solving linear systems?

Tip:

When working with fractions in equations, consider multiplying through by the least common denominator (LCD) to simplify the equations.