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Systems Solutions
Types of Solutions for Systems of Equations
| Question | Answer |
|---|---|
| How many solutions does a system of equations have if the graph of the system is two lines which intersect? | One |
| How many solutions does a system of equations have if the graph of the system is two lines which are parallel? | None |
| How many solutions does a system of equations have if the graph of the system is two lines which are actually the same line? | Infinitely Many |
| Two lines intersect at the point (3,5). How many solutions does this system of equations have? | One |
| The following lines are graphed on the coordinate plane. y=3x + 4 y=3x - 8 How many solutions does this system of equations have? | None |
| The following lines are graphed on the coordinate plane. y=2x -1 y=x + x -1 How many solutions does this system of equations have? | Infinitely Many |
| The following lines are graphed on the coordinate plane. y=-4x +5 y=2x -7 How many solutions does this system of equations have? | One |
| Two lines which have the same slope are graphed on the coordinate plane. One of them has a y-intercept of 10 while the other has a y-intercept of 2. How many solutions does this system of equations have? | None |
| Two lines which have the same slope are graphed on the coordinate plane. They both pass through the point (9,4). How many solutions does this system of equations have? | Infinitely Many |
| Two lines which have different slopes are graphed on the coordinate plane. They both pass through the point (-3,7). How many solutions does this system of equations have? | One |
| Parallel lines are a system of equations with _____ solution(s). | No |
| Intersecting lines are a system of equations with _____ solution(s). | One |
| Coincident lines are a system of equations with _____ solution(s). | Infinitely Many |
| Two lines which are directly on top of each other when graphed are a system of equations with _____ solution(s). | Infinitely Many |
| When solving a system of equations algebraically, Bruno reaches a step in his algebra which says 7=6. The system of equations has ____ solution(s). | No |
| When solving a system of equations algebraically, Mary reaches a step in her algebra which says 0=0. The system of equations has ____ solution(s). | Infinitely Many |
| When solving a system of equations algebraically, Yesenia reaches a step in her algebra which says 0=x. The system of equations has ____ solution(s). | One |
Created by:
emilylake731
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