Question

In which quadrant does the solution of the system fall?

y = x – 1
y = –3x – 5 answer 3
how did you get the answer

Answer 1

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.

Let's start by solving the system of equations:

1) We can rewrite the first equation as y = x - 1.
2) Substitute this expression for y in the second equation: x - 1 = -3x - 5.
3) Simplify the equation: 4x = 4.
4) Solve for x: x = 1.

Now that we have the value of x, we can substitute it back into either equation to find the value of y:

Using the first equation: y = 1 - 1, which simplifies to y = 0.

So, the solution of the system is x = 1 and y = 0.

Based on these values, the solution (1, 0) falls in the first quadrant. However, the given answer is 3, which seems incorrect.