480,009 views
14 votes
14 votes
How many solutions does the system of equations graphed below have? A) 2 B) 1C) 0D) infinite

How many solutions does the system of equations graphed below have? A) 2 B) 1C) 0D-example-1
User Rafaelrezend
by
3.1k points

1 Answer

16 votes
16 votes

You can see two lines in the graph. Then, it is a System of Linear equations.

By definition:

- When a System of linear equations has two parallel lines, the system has No solution.

- When they are exactly the same line, the system has Infinitely many solutions.

- When the lines intersect each other, then the System of equations has One solution. The solution will be the point of intersection.

As you can observe in the graph given in the exercise, there are two lines intersecting each other. Therefore, you can conclude that this System of Linear equation has One solution.

The answer is: Option B.

User Udaya
by
2.0k points