Determine the number of solutions to this system of linear equations: y=x+5 y=−x+5

A 0
B 2
C 1
D infinite

1 answer

The given system of linear equations is:

y = x + 5
y = -x + 5

We can see that both equations represent lines with the same slope (-1) but different y-intercepts (5 and 5).

The lines are parallel and will never intersect. Therefore, there are no solutions to this system of linear equations.

The number of solutions is 0.

Answer: A) 0