What does it mean if a system of equations has no solution?
Solve System of Equations by Graphing

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•
Mathematics
•
7th - 8th Grade
•
Hard
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1.
FLASHCARD QUESTION
Front
Back
The graph of the system will show parallel lines that never intersect.
2.
FLASHCARD QUESTION
Front
What does it mean if a system of linear equations has infinitely many solutions?
Back
The two lines represented by the equations are identical, meaning they overlap completely.
3.
FLASHCARD QUESTION
Front
What is the solution to the system of equations represented by the lines y = 2x + 2 and y = 2x - 4?
Back
There is no solution, as the lines are parallel.
4.
FLASHCARD QUESTION
Front
How many solutions does the system of equations y = 3x + 1 and y = 3x + 5 have?
Back
No Solution, as the lines are parallel.
5.
FLASHCARD QUESTION
Front
What is the solution to the system of equations represented by the lines y = x + 2 and y = -x + 4?
Back
(1, 3), as the lines intersect at this point.
6.
FLASHCARD QUESTION
Front
What does it mean if two lines intersect at one point?
Back
The system of equations has exactly one solution.
7.
FLASHCARD QUESTION
Front
If the equations of two lines are y = 4x + 1 and y = 4x + 3, how many solutions does the system have?
Back
No Solution, as the lines are parallel.
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