Question

Use the graph below to determine the number of solutions the system has.

x=4
y=-x-1

Answer 1

The system x = 4 and y = -x - 1 has one solution

Explanation:

x = 4 and y = -x - 1 intersects only once on the graph

Answer 2

The line x = 4 and y = - x - 1 has only one solution.

Explanation:

Consider the provided graph.

The system of equation has the solution at the point where the line intersects.

Now consider the graph of the equation x = 4 and y = - x - 1

The graph of x = 4 is a vertical line.

From the graph it is clear that the line x = 4 and y = - x - 1 intersect at a point.

Now to calculate the number of solutions simply count the number of intersecting points.

By observing the graph it can be concluded that the graph of x = 4 and y = - x - 1 intersect only at one point i.e (4,-5).

Hence, the line x = 4 and y = - x - 1 has only one solution.