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How many solutions does this system of equations have?

A. none
B. exactly two
C. infinitely many
D. exactly one

1 Answer

2 votes

The system of equations that is shown in the image attached below has one solution (0, 3), which means the answer is: D. exactly one.

What is the solution to a system of equations?

A system of equations has exactly one solution if the line that represents both equations in the system intersect at a point on the graph, thus, the coordinate of the point is the solution to the system.

In this case, the system is represented by two lines which intersect each other at the point (0, 3). This means that it has exactly one solution which is, (0, 3).

The answer is: D. exactly one

How many solutions does this system of equations have? A. none B. exactly two C. infinitely-example-1
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