The graph shows two lines, A and B.
A coordinate plane is shown with two lines, A and B, graphed. Line A has a slope of negative 1 and crosses the y axis at 5. Line B has a slope of positive 1 and crosses the y axis at 3.
How many solutions are there for the pair of equations for lines A and B? Explain your answer.
The pair of equations for lines A and B are:
A: y = -x + 5
B: y = x + 3
To find the number of solutions, we need to determine if the two lines intersect at a single point.
Since the slopes are different for line A and B, they will intersect at a single point. This means that there is only one solution for the pair of equations for lines A and B.