Solutions to Linear Systems of Equations

How many solutions does this system have?

• No Solution

• One Solution

• Infinitely Many Solutions

How many solutions does this system have?

• No Solution

• One Solution

• Infinitely Many Solutions

How many solutions does this system have?

• No Solution

• One Solution

• Infinitely Many Solutions

How many solutions does this system have?

• No Solution

• One Solution

• Infinitely Many Solutions

How many solutions does this system have?

• No Solution

• One Solution

• Infinitely Many Solutions

If a system of equations has no solution, what does the graph look like? 

• intersecting lines

• parallel lines

• skew lines

• intersecting lines

What is the solution to the above system of equations?

• ( 3, 0)

• ( 0, 3)

• ( -3, 0)

• ( 0, -3)

What is solution to a system of equations?

• A point that satisfies neither equation

• A point that satisfies only one equation

• You can never find a solution to a system of equations

• The point that satisfies both equations.

A system of equations can have:

• 1 solution, the point of intersection

• No solution, parallel lines

• Infinite solutions, overlapping lines

• All of the above!

What is the solution to the above system of equations?

• ( 5, -2)

• ( 2, -5)

• ( -2, 5)

• ( -5, 2)