One, Many, No Solution Graph

How many solutions does the following equation have?

−2x + 9 + 6x = −3x + 2

• One Solution

• No Solutions

• Infinitely Many Solutions

• Two solutions

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

y=2x+3

y=-4x+3

• Infinite Number of Solutions

• No Solution

• One Solution

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

y=5x+3

y=5x-2

• Infinite Number of Solutions

• No Solution

• One Solution

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

How many solutions does this system of equations have?

• One Solution

• No solution

• Infinitely Many Solutions

• Two Solutions

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

• Parallel lines

• the same line

• Intersecting lines

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

• Intersecting lines

• Same line

• Parallel lines

What type of solution to at system of equations is shown in the graph?

• one solution

• no solution

• infinitely many solutions

What is the type of solution to the system of equations?
y = 1/4x - 3
y = 2/8x - 3

• one solution

• no solution

• infinitely many solutions

What is the type of solution to the system of equations?
y = -2x - 7
y = -2x + 8

• one solution

• no solution

• infinitely many solutions