Question

linear systems
graphically solving a system of linear equations
\

$$\begin{cases} y = -2x - 1 \\\\ 4x + 2y = -2 \\end{cases}$$

note that you can also answer
o solution\ or \infinitely many\ solutions.
(graph of a coordinate plane with x from -10 to 10 and y from -10 to 10, grid lines, and solution input area with options: no solution, infinitely many, (□,□))

Explanation:

Step1: Rewrite second equation to slope-intercept

Start with $4x + 2y = -2$. Isolate $y$:
$2y = -4x -2$
$y = -2x -1$

Step2: Compare the two equations

First equation: $y = -2x -1$
Second equation (simplified): $y = -2x -1$
The equations are identical, so their graphs overlap completely.

Answer:

Infinitely many solutions