The image contains a system of linear equations. Let me extract the given equations and solve them.

Given Equations:

1. $x + 2y + z = 8$
2. $2x + 3y + 5z = 23$
3. $9x + y - z = 3$

I will solve this system of equations step by step using substitution or elimination. sympy import symbols, Eq, solve

Define variables

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

Define equations

eq1 = Eq(x + 2y + z, 8) eq2 = Eq(2x + 3y + 5z, 23) eq3 = Eq(9*x + y - z, 3)

Solve the system of equations

solution = solve((eq1, eq2, eq3), (x, y, z)) solutionThe solution to the system of equations is:

$x = \frac{26}{61}, \quad y = \frac{137}{61}, \quad z = \frac{188}{61}.$

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

Related Questions:

1. How can we verify this solution by substituting it back into the equations?
2. What are the advantages of solving linear systems symbolically vs numerically?
3. Could this system of equations have been inconsistent? How would we know?
4. How can matrix methods like Gaussian elimination solve such systems?
5. What happens if we solve this system graphically? Would the intersection be a single point?

Tip:

When working with fractions in solutions, always double-check your arithmetic to avoid small errors!