Question

The graph shows two lines, A and B.

Answer 1

Answer:

Part A: one solution:

Part B: x = 3, y = 4.

Explanation:

1) Part A: how many solutions does the pair of equations for lines A and B have?

The solution of a system of equations in a graph is given by the intersetion of the curves that represent the equations.

In this case, there are two straight lines, which intersect in one and only one point.

Hence, the system has one solution.

2) Part B: what is the solution to the equations of lines A and B?

The solution is the pair of coordinates of the intersection point. It is (3, 4).

Therefore, the solution is x = 3, y = 4.

Answer 2

Answer:

A) There is one solution. The answer to a system of equations is where the lines intersect. These lines only intersect once so there is one solution.

B) 3,5 is the solution because as I said the answer to a system of equations is where the lines intersect and that is where they intersect.