4.1 Linear Systems

How many solutions?

• One Solution

• No solution

• Infinitely Many Solutions

How many solutions will this system have?

• One

• Two

• No Solution

• Infinitely Many Solutions

The solution to a system of equations is any ordered pair that makes both equations true. 

• TRUE

• FALSE

Solve the following system by graphing.  What is the solution?

• Infinite number of solutions

• (3, 3)

• (3, -3)

• (-3, 3)

Solve the following system by graphing.  What is the solution?

• (3, -1)

• (-1, -3)

• (-1, -1)

• (-1, 3)

What is the solution?

• (2, 2)

• (3, 2)

• no solution

• (2, 3)

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

• intersecting lines

• parallel lines

• one line

What does it mean if a linear system has one solution?

• The lines intersect at one point

• The lines do not intersect

• The lines intersect at many points

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

• cross the y-axis

• Don't touch

• Intersect

• Exist

Steffen graphed two lines in order to find the solution to a given system of equations.
What is the solution?

• (-3,-8)

• (-8,-3)

• (3,-8)

• (8,3)