Systems of Equations

How many solutions will this system have?

• One
• Two
• No Solution
• Infinitely Many Solutions

What is the solution to the system?

• (-1, 3)

• (-3, 1)

• (3, -1)

• (-3, -1)

If a system of linear equations has one solution, what does this mean about the two lines? 

• Parallel lines
• the same line 
• Intersecting lines

How can you tell if a point is a solution to a system?

• It makes the first equation true.
• The (x,y) coordinates satisfy both equations
• It makes logical sense
• It makes neither equation negative

How many solutions?

• One Solution
• No solution
• Infinitely Many Solutions

^{What is the solution?} 

• 1
• -2
• (1, 2)
• (1, -1)

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

• intersecting lines
• parallel lines
• skew lines
• intersecting lines

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

• Run off the graph
• Don't touch
• Intersect
• Exist

What is the solution to the system?

• (0, 3)
• (1, -1)
• (-3, 1)
• (1, 3)

How many solutions?

• 1 solution

• 2 solutions

• No solutions

• Infinite Solutions