Systems of Equations with Many Solutions

How many solutions does this system have?

• One solution

• No solutions

• Infinitely many solutions

How many solutions will this system have?

• One

• Two

• No Solution

• Infinitely Many Solutions

If a system of linear equations has infinitely many solutions, what does this mean about the two lines? 

• Intersecting lines

• Same line

• Parallel lines

How many solutions does this system have?

• One solution

• No solutions

• Infinitely many solutions

Which image shows a system of linear equations with infinitely many solutions?

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What does it mean when a system of linear equations has "infinitely many solutions"?

• The lines intersect at exactly one point.

• The lines are parallel and never intersect.

• The lines are the same so they overlap at every point.

• The system has no solutions.

Tags

TEKS.MATH.9-12.II.C.1

How many solutions does the system of equations on the graph have?

• One Solution

• No Solution

• Many Solutions

Which of the following situations would result in infinitely many solutions to a system of linear equations?

• Identical Lines

• Parallel Lines

• Perpendicular Lines

• Intersecting Lines

If a system of equations has infinitely many solutions, what do you know about the slopes and y-intercepts of the two equations?

• They have different slopes and different y-intercepts.

• They have the same slopes and different y-intercepts.

• They have the same slopes and the same y-intercepts.

• They have different slopes and the same y-intercepts.

A system of equations with infinitely many solutions will have lines that...

• are the same

• cross in one place

• are parallel and never touch