In which quadrant does the solution of the system fall? y=x-1
y=-3x-5
To determine the quadrant in which the solution of the system falls, we need to find the values of x and y that satisfy both equations.
First, let's solve the system by setting the two equations equal to each other:
x - 1 = -3x - 5
Adding 3x to both sides:
4x - 1 = -5
Adding 1 to both sides:
4x = -4
Dividing both sides by 4:
x = -1
Now we can substitute this value of x into either equation to find y:
y = -1 - 1
y = -2
Therefore, the solution of the system is (-1, -2).
Since both x and y are negative, the solution (-1, -2) falls in the third quadrant.