Question

graph the system below and write its solution.\

$$\begin{cases} -x - 4y = 4 \\\\ y = -\\dfrac{1}{4}x - 1 \\end{cases}$$

\
note that you can also answer
o solution\ or \infinitely many\ solutions.

Explanation:

Step1: Rewrite first equation

Start with \(-x - 4y = 4\). Solve for \(y\):
Add \(x\) to both sides: \(-4y = x + 4\).
Divide by \(-4\): \(y = -\frac{1}{4}x - 1\).

Step2: Compare with second equation

The second equation is \(y = -\frac{1}{4}x - 1\).
Both equations are identical (same slope, same y - intercept).

Step3: Determine solution type

Identical linear equations represent the same line. All points on the line satisfy both equations, so there are infinitely many solutions.

Answer:

Infinitely many