Problem

Here is a system of equations.
\[
\left\{\begin{array}{l}
y=-3 x-5 \\
y=-x-3
\end{array}\right.
\]
Graph the system. Then write its solution. Note that you can also answer "No solution" or "Infinitely many" solutions.

Answer

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Answer

Final Answer: The solution to the system of equations is \(\boxed{(-1, -2)}\)

Steps

Step 1 :The system of equations is a set of linear equations. To find the solution, we need to find the point where the two lines intersect. This can be done by setting the two equations equal to each other and solving for x.

Step 2 :Set the two equations equal to each other: \(-3x - 5 = -x - 3\)

Step 3 :Solve for x: \(x = -1\)

Step 4 :Substitute x = -1 into either of the original equations to find the corresponding y value: \(y = -(-1) - 3 = -2\)

Step 5 :The solution to the system of equations is the point (-1, -2). This is the point where the two lines intersect on the graph.

Step 6 :Final Answer: The solution to the system of equations is \(\boxed{(-1, -2)}\)

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