Question

then write the solution as an ordered pair. if no solution exists, write
o solution\; if infinite solutions exist, write \infinite solutions\.
\

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

show your work here

Explanation:

Step1: Set the two equations equal

Since both equations are solved for \( y \), we can set them equal to each other:
\( -3x - 3 = -2x - 2 \)

Step2: Solve for \( x \)

Add \( 3x \) to both sides:
\( -3 = x - 2 \)
Then add 2 to both sides:
\( x = -1 \)

Step3: Substitute \( x = -1 \) into one of the equations to find \( y \)

Let's use the second equation \( y = -2x - 2 \). Substitute \( x = -1 \):
\( y = -2(-1) - 2 \)
\( y = 2 - 2 \)
\( y = 0 \)

Answer:

\((-1, 0)\)