How many solutions does the following system of equations have?
{y=x-2
{y=x+2
two solutions
no solutions
one solution
infinitely many solutions
No solutions.
If we set the two equations equal to each other, we get:
x - 2 = x + 2
Simplifying, we get:
-2 = 2
This is a contradiction, so there is no value for x and y that would satisfy both equations, meaning there are no solutions.