Determine the number of solutions to the system of linear equations y equals x + 5 y equals negative x + 5

Answer 1

The system of linear equations y = x + 5 and y = -x + 5 can be rewritten as x + 5 = -x + 5.

By combining like terms, we get:

2x = 0

Dividing by 2, we find:

x = 0

Substitute x = 0 back into one of the original equations, y = x + 5:

y = 0 + 5 = 5

So the system of equations has one unique solution: (0, 5).