In which quadrant does the solution to the system fall?

Question

y = x – 1
y = –3x – 5
(1 point)
Responses

I

II

III

IV

Answer 1

To determine in which quadrant the solution to the system falls, we need to find the x and y values that satisfy both equations.

For the first equation, y = x - 1:
If we set x = 0, then y = -1. This gives us the point (0, -1).

For the second equation, y = -3x - 5:
If we set x = 0, then y = -5. This gives us the point (0, -5).

From the points we found, we can see that the solution falls in the third quadrant (III).