Find the solution to the system of equations on the graph 𝑦=2𝑥+3 and 𝑦=−𝑥−3Group of answer choices(0,−3)(−2,−1)Impossible to determine from graph.(−3,0)

1. ### Break Down the Problem

To find the solution to the system of equations $y = 2x + 3$ and $y = -x - 3$, we need to determine the point where these two lines intersect.

2. ### Relevant Concepts

The solution to the system of equations can be found by solving for $x$ and $y$ where both equations are equal to each other: $2x + 3 = -x - 3$

3. ### Analysis and Detail

1. Set the equations equal: $2x + 3 = -x - 3$

2. Combine like terms: $2x + x = -3 - 3$ $3x = -6$

3. Solve for $x$: $x = -2$

4. Substitute $x$ back into one of the original equations to find $y$: Using $y = 2x + 3$: $y = 2(-2) + 3 = -4 + 3 = -1$

4. ### Verify and Summarize

Now, let's verify our solution by checking in the second equation: $y = -x - 3$ Substituting $x = -2$: $y = -(-2) - 3 = 2 - 3 = -1$ Both equations give us the point $(-2, -1)$.

Final Answer

The solution to the system of equations is $(-2, -1)$.