In which quadrant does the solution of the system fall?
y=x-1
y=-3x-5
A. I
B. II
C. III
D. IV
The solution of the system can be found by setting the two equations equal to each other:
x - 1 = -3x - 5
Simplifying the equation, we get:
4x = 4
Dividing both sides by 4, we find that x = 1.
Substituting this value into either equation, we find that y = 0.
Therefore, the solution of the system is (1, 0).
The point (1, 0) lies in the first quadrant.
So, the answer is A. I.