Solve the system:

Question

y=x−3

y=−x−1

Answer 1

To solve this system of equations, we can set the two equations equal to each other and solve for x:

x - 3 = -x - 1

By adding x to both sides and adding 3 to both sides:

2x = 2

Dividing both sides by 2:

x = 1

Now we can substitute this value of x back into one of the original equations to solve for y. Let's use the first equation:

y = x - 3
y = 1 - 3
y = -2

Therefore, the solution to the system of equations is x = 1 and y = -2.