Question

what is the solution to this system of linear equations?

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$$\begin{cases} y = -2x - 2 \\\\ y = 3x + 3 \\end{cases}$$

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\\((?, \quad)\\)

Explanation:

Identify the system of equations

We are given the system of Linear Functions:

$$
LATEXBLOCK0
$$

Find the intersection point graphically

The solution is where the lines intersect.
Looking at the graph, both lines cross at:

$$ (x, y) = (-1, 0) $$

Verify the solution algebraically

Substitute \(x = -1\) into both equations:
For the first equation:

$$ y = -2(-1) - 2 = 2 - 2 = 0 $$

For the second equation:

$$ y = 3(-1) + 3 = -3 + 3 = 0 $$

Both equations are satisfied.

Answer:

What is the solution to this system of linear equations?

<blank>\((-1, 0)\)</blank>