Determine the number of solutions to this system of linear equations

Question

y = x + 5
y = -x + 5

Answer 1

There is exactly one solution to this system of linear equations.

By substitution, we have:

x + 5 = -x + 5
2x = 0
x = 0

Substitute x = 0 back into one of the equations:

y = 0 + 5
y = 5

So the solution to the system is x = 0, y = 5.