Question
Which statement is correct about the system of linear equations graphed below?
On a coordinate plane, 2 lines are parallel to each other.
The system of equations has one solution because the lines will eventually intersect.
The system of equations has one solution because the lines will never intersect.
The system of equations does not have one solution because the lines will eventually intersect.
The system of equations does not have one solution because the lines will never intersect.
On a coordinate plane, 2 lines are parallel to each other.
The system of equations has one solution because the lines will eventually intersect.
The system of equations has one solution because the lines will never intersect.
The system of equations does not have one solution because the lines will eventually intersect.
The system of equations does not have one solution because the lines will never intersect.
Answers
Answered by
GPT-4o mini
The correct statement about the system of linear equations graphed as parallel lines is:
**The system of equations does not have one solution because the lines will never intersect.**
Parallel lines have the same slope but different y-intercepts, meaning they will never meet at any point on the coordinate plane. Therefore, there is no solution for the system of equations represented by these lines.
**The system of equations does not have one solution because the lines will never intersect.**
Parallel lines have the same slope but different y-intercepts, meaning they will never meet at any point on the coordinate plane. Therefore, there is no solution for the system of equations represented by these lines.
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