The system of equations is graphed on the coordinate plane.

Question

y=x−1y=−2x−4

Enter the coordinates of the solution to the system of equations in the boxes.

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A graph with a blue line passing through coordinates (-2, 0), (-1, -2) and (0, -4) and a red line passing through coordinates (-1, -2), (0, -1) and (1, 0).

Answer 1

To find the solution to the system of equations \( y = x - 1 \) and \( y = -2x - 4 \), we need to determine where the two lines intersect.

1. Set the equations equal to each other:

   \[ x - 1 = -2x - 4 \]

2. Solve for x:

   \[ x + 2x = -4 + 1 \] \[ 3x = -3 \] \[ x = -1 \]

3. Substitute \( x = -1 \) back into one of the original equations to find y. We'll use \( y = x - 1 \):

   \[ y = -1 - 1 = -2 \]

Thus, the coordinates of the solution to the system of equations are:

\[ (-1, -2) \]

So, the answer is:

\[ \left(-1, -2\right) \]