Determine the Number of Solutions System of Equations

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

• Intersecting lines

• Same line

• Parallel lines

2 or more linear equations with the same set of variables

• System

• System of Equations

• Linear Equations

• Quadratic Equations

a solution to a system of equations that results in no x or y value that will satisfy both equations

• No Solution

• One Solution

• Infinite Solutions

• Beyond Solutions

Based on the equations for each line, determine how many solutions the system would have.

• Infinite Number of Solutions

• No Solution

• One Solution

When you graph the exact same equation twice,

• you will have no solution. 

• you will have infinite solutions. 

• you will graph a giraffe. 

• Parallel Lines

• Same Line 

• Intersecting Lines

What is the solution?

• No solution

• Infinite Number of Solutions

• No Solution

• One Solution

Based on the equations for each line, determine how many solutions the system would have.

• Infinite Number of Solutions

• No Solution

• One Solution

What is the solution to this system?