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:

$$(-1,-2)$$