Let me solve the system of equations visible in the image:

The system of equations is:

$-4x - y = -28$ $x + y = 4$

Step 1: Solve one equation for $y$

From the second equation: $x + y = 4 \implies y = 4 - x$

Step 2: Substitute $y = 4 - x$ into the first equation

$-4x - (4 - x) = -28$ Simplify: $-4x - 4 + x = -28$ $-3x - 4 = -28$ $-3x = -24$ $x = 8$

Step 3: Substitute $x = 8$ back into $y = 4 - x$

$y = 4 - 8$ $y = -4$

Solution:

The solution to the system is: $x = 8, \, y = -4$

Would you like a step-by-step explanation or further assistance?

Related Questions:

1. How do you verify the solution of a system of equations?
2. Can this problem be solved graphically? If so, how?
3. What are alternative methods to solve systems of equations (e.g., elimination)?
4. How does substitution work with nonlinear equations?
5. Can systems of equations have no solution or infinite solutions?

Tip: Always double-check your solution by substituting the values back into the original equations!