Solutions to a System of Equations

How many solutions?

• One Solution

• No solution

• Infinitely Many Solutions

What is the solution to this equation?

• one solution

• no solution

• infinite solutions

• none of these

Is the point (2, -1) a solution to the systems of equations below?

y=5x+3

y=-2x-4

• Yes

• No

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

What is the number of solutions to the system of equations?

• No Solution

• Infinitely Many Solutions

• One Solution

• Two Solutions

What is the solution to the system?

• (-1, 3)

• (-3, 1)

• (3, -1)

• (-3, -1)

How many solutions will this system have?

• One

• Two

• No 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

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

• Parallel lines

• the same line 

• Intersecting lines

^{What is the solution?} 

• 1

• -2

• (1, 2)

• (1, -1)