We have the following system of linear equations:

1. $-1 = 2x - y$
2. $8x - 4y = -4$

Step 1: Solve for one variable

Let's solve the first equation for $y$:

$-1 = 2x - y$

Rearrange to get $y$ in terms of $x$:

$y = 2x + 1$

Step 2: Substitute into the second equation

Now substitute $y = 2x + 1$ into the second equation:

$8x - 4(2x + 1) = -4$

Expand the equation:

$8x - 8x - 4 = -4$

Simplify:

$-4 = -4$

This is a true statement, which means the system has infinitely many solutions. The two equations are dependent, meaning they represent the same line.

Thus, the solution is not a single point, but rather all points $(x, y)$ that satisfy the equation $y = 2x + 1$.

Solution:

$y = 2x + 1$

Any point on this line is a solution to the system.

Would you like to explore this solution further?

Related Questions:

1. What is a dependent system of linear equations?
2. How do we solve a system of equations using substitution?
3. What are the different methods to solve a system of linear equations?
4. Can a system have no solution or a unique solution? Under what conditions?
5. How do graphing methods help visualize solutions to systems of equations?

Tip: When solving a system of equations, always check if the equations are multiples of each other to identify dependent systems.