Solve the system:

Question

y=x−3
y=−x−1
Put your answer in ordered pair form: (x,y). Make sure to show all work for full credit.

Answer 1

To solve the system, we can set the two equations equal to each other:

x - 3 = -x - 1

Adding x to both sides, we get:

2x - 3 = -1

Adding 3 to both sides, we get:

2x = 2

Dividing both sides by 2, we get:

x = 1

Now that we have the value of x, we can substitute it into one of the equations to solve for y. Let's use the first equation:

y = 1 - 3
y = -2

Therefore, the solution to the system is (1, -2).

Answer 2

y=x−3
y=−x−1
---------------------- add them
2 y = 0 x - 4
y = -2
go back and get x

Answer 3

Apologies for the mistake. Let's solve the system correctly:

We have the equations:

y = x - 3 ...(1)
y = -x - 1 ...(2)

We can substitute equation (2) into equation (1) to eliminate y:

x - 3 = -x - 1

Adding x to both sides:

2x - 3 = -1

Adding 3 to both sides:

2x = 2

Dividing both sides by 2:

x = 1

Now, substitute the value of x back into equation (1) to find y:

y = 1 - 3
y = -2

Therefore, the solution to the system is (x, y) = (1, -2).