Determine the number of solutions to this system of linear equations: y = x + 5; y = - x + 5 (1 point)
This system of linear equations is in the form y = mx + b, where m represents the slope and b represents the y-intercept.
Comparing the two equations in the system, we see that the slopes are equal (+1 and -1) and the y-intercepts are also equal (5 and 5).
Since the slopes are equal and the y-intercepts are equal, the two lines are parallel and will never intersect. Therefore, there are no solution to this system of linear equations.