Question

In which quadrant does the solution to the system fall?

y=x-1
y=-3x-5

I
II
III
IV

Graph the solution to the system.
y=-5x-2
y+2=-5x

Answer 1

The solution to the system of equations falls in Quadrant III. To graph the solution, plot the point of intersection (-2, -3) on the coordinate plane.

Step-by-step explanation:

To find the solution to the system of equations y=x-1 and y=-3x-5, we can solve by graphing the equations and determining the point of intersection. The graph of the system will provide information about which quadrant the solution falls into. By graphing the equations, we can see that the solution to the system falls in Quadrant III.

To graph the solution to the system of equations, plot the points of intersection on the coordinate plane. In this case, the point of intersection is (-2, -3). This represents the solution to the system of equations.

Answer 2

y=x-1 eqn 1
y=-3x-5 eqn 2
subtracting 1 from 2 we get
0 = 4x + 4
hence x= -1
therefore y = -1-1 = -2
so (-1,-2 ) falls in III quad.