Question

In which quadrant does the solution of the system fall? y=x-1, y=-3x-5

Answer 1

The solution of the system of equations y = x - 1 and y = -3x - 5 is the point (-1, -2), which falls in Quadrant III.

Step-by-step explanation:

To determine in which quadrant the solution of the system of linear equations falls, we need to find the point of intersection between the two lines represented by the equations y = x - 1 and y = -3x - 5.

By setting the equations equal to each other, we can find the x-coordinate of the intersection point: x - 1 = -3x - 5. Solving for x gives us: 4x = -4, so x = -1. Substitute x = -1 into either of the original equations to find the y-coordinate: y = -1 - 1 = -2.

Thus, the solution to the system, the point (-1, -2), falls in Quadrant III, where both x and y are negative.

Answer 2

solve the 2 equations then if : X and Y are positive then it is the first quad
if X is negative and Y is positive then it is in second quad
if X is negative and Y is negative then it is 3rd quad
if X is positive and Y is negative then it is the 4th quad
(look at the signs of numbers solved by the equation)