determine the number of solutions to this system of liner equations:

Question

y=x+5
y= -x+5

a. 0
b. 2
c. infinite
d. 1

Answer 1

d. 1

The two equations are parallel lines with the same slope but different y-intercepts. This means they will never intersect (no solutions) unless they are actually the same line (infinite solutions). In this case, they are the same line, so there is one solution.