Solutions of Systems of Linear Equations

How many solutions?

• One Solution

• No solution

• Infinitely Many Solutions

What does the graph of a system of equations with no solution look like?

• Intersecting Lines

• Parallel Lines

• One Line

• No Lines

When two equations are written in slope-intercept form, how can you tell if there will be one solution?

• The equations have a different slope and a different y-intercept.

• The equations have a the same slope and a different y-intercept.

• The equations have the same slope and the same y-intercept.

• The equations have a different slope.

When two equations are written in slope-intercept form, how can you tell if there will be no solution?

• The equations have a different slope and a different y-intercept.

• The equations have a the same slope and a different y-intercept.

• The equations have the same slope and the same y-intercept.

• The equations have a different slope.

When two equations are written in slope-intercept form, how can you tell if there will be infinitely many solutions?

• The equations have a different slope and a different y-intercept.

• The equations have a the same slope and a different y-intercept.

• The equations have the same slope and the same y-intercept.

• The equations have a different slope.

When you graph the exact same equation twice,

• you will have no solution. 

• you will have one solution.

• you will have infinite solutions. 

• you will graph a giraffe. 

What is the solution?

• (1, -1)

• (-1, 1)

• (0, -2)

• (0, 1)

^{What is the solution?} 

• 1

• -2

• (1, 2)

• (1, -1)

How many solutions will this system have?

• No Solution

• Infinitely Many Solutions

• No Clue

• One solution

What does the graph of a system of equations with infinitely many solutions look like?

• Intersecting Lines

• Parallel Lines

• One Line

• No Lines