Question

Solve the system: 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 will set the two equations equal to each other:

x - 3 = -x - 1.

Adding x to both sides of the equation, we get:
2x - 3 = -1.

Adding 3 to both sides of the equation, we get:
2x = 2.

Dividing both sides of the equation by 2, we get:
x = 1.

Substituting x = 1 into one of the original equations, we find:
y = 1 - 3 = -2.

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