Systems of Linear Equations Types of Solutions

Identify the number of solutions for the system of equations.

• One

• None

• Infinitely Many

What is the solution to the system?

• (0, 3)

• (1, -1)

• (-3, 1)

• (1, 3)

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 no solution look like?

• Intersecting Lines

• Parallel Lines

• One Line

• No Lines

What does the graph of a system of equations with infinitely many solutions 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.

^{What is the solution?} 

• 1

• -2

• (1, 2)

• (1, -1)

It refers to the set of two or more linear equations that have variables in common.

• System of Linear Equations

• System of Linear Inequalities

• System of Quadratic Equations

• System of Trigonometric Equations