Determine the number of solutions to this system of linear equations: y=x+5 y=−x+5
A. 0
B. infinite
C. 2
D. 1
The system of linear equations is:
y = x + 5
y = -x + 5
We can see that both equations have the same constant term, which is 5. This means that the lines represented by these equations are parallel, and they will never intersect. Therefore, the system has 0 solutions.
The answer is A. 0.