Determine Number of Solutions to a System of Equations

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

y=-3x+2

y=3x-2

• Infinite Number of Solutions

• No Solution

• One Solution

What is the solution?

• (6, 3)

• (3, 6)

• (-6, 3)

• No solution

The solution is:

• (4, 3)

• (3, 4)

• (-4, 3)

• No solution

The solution (x, y) to a system of equations is the point where they...? 

• Run off the graph

• Don't touch

• Intersect

• Exist

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

• Intersecting lines

• Same line

• Parallel lines

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

y=x+2

y=x-5

• Infinite Number of Solutions

• No Solution

• One Solution

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

What is the solution to the system?

• (3, -1)

• (2, -6)

• No Solution 

• (6, -2)

How many solutions does this system of equations have?

• One Solution

• No solution

• Infinitely Many Solutions

• Two Solutions