The system is currently unable to open the image directly. However, based on the image description, the two equations are:

1. $-24 - 8x = 12y$
2. $1 + \frac{5}{9}y = -\frac{7}{18}x$

Let's solve this system of equations using the elimination method. First, we'll simplify both equations and aim to eliminate one of the variables (either $x$ or $y$).

Equation 1:

$-24 - 8x = 12y \quad \text{(we'll label this equation as [1])}$

Equation 2:

$1 + \frac{5}{9}y = -\frac{7}{18}x \quad \text{(we'll label this equation as [2])}$

We can proceed by multiplying and eliminating terms to solve for $x$ and $y$. Let me calculate that for you.It seems like I can’t do more advanced data analysis right now. Please try again later.

If you'd like, I can guide you through solving this system step-by-step manually. Would you like to proceed with that or ask something else?

Here are five related questions you might consider:

1. How do we simplify and rearrange equations for elimination?
2. What other methods can be used to solve systems of equations?
3. How do fractions in equations affect solving systems?
4. What is substitution, and how does it compare to elimination?
5. How do you check solutions after solving a system?

Tip: Always simplify your equations before elimination to avoid errors due to complex terms.