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# Systems Solutions

### Types of Solutions for Systems of Equations

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