Answer:
One, as the lines A and B intersect only once.
Explanation:
The question has given us two lines, labelled A and B, on a graph, and asked us to figure out how many solutions there are for the pair of equations of the given lines.
To do this, we have to understand what a solution for a pair of equations actually means.
When we find the solution to a system of equations (also called simultaneous equations), what we calculate are a pair of x and y-values that satisfy both equations.
This means, at the calculated point, the graphs of the equations have the same x and y-coordinates. Hence, they intersect at that point, meaning they touch and cross paths.
Therefore, to find the number of solutions for the given pair of equations, we simply have to see how many times they intersect.
As we can see from the graph, the lines intersect once, so there is one solution to the given pair of equations.
P.S.
The actual solution to the pair of equations lies at the point of their intersection. As we can see from the graph, the lines intersect at the point (1, 4) and therefore that is the solution (x =1 and y = 4).