Identify Solutions from System of Equations

What is the solutions to the following system of equations?

• (0, 3)

• (0, -1)

• (-1, 2)

• Infinity Many Solutions

• No Solution

A system of equations with infinitely many solutions will have lines that...

• are the same

• are parallel and never touch

• cross in one place

What is the solution to the following system of equations?

• (0,3)

• (-3, 1)

• (1, 3)

• Infinitely Many Solutions

• No Solution

What is the solutions to the following system of equations?

• (5,2)

• (2, 5)

• (0,3)

• Infinity Many Solutions

• No Solutions

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

The solution to a system of linear equations is a _____.

A system of equations will have no solution when...

• it is comprised of 2 parallel lines

• solving algebraically produces zero as an answer

• an attempt to solve makes all variables cancel, leaving an untrue statement (like 5 = -7)

• an attempt to solve makes all variables cancel, leaving a true statement (like 6 = 6)

A system of equations will have no solution when...

• it is comprised of 2 parallel lines

• solving algebraically produces zero as an answer

• an attempt to solve makes all variables cancel, leaving an untrue statement (like 5 = -7)

• an attempt to solve makes all variables cancel, leaving a true statement (like 6 = 6)

Which image shows a system of linear equations with infinitely many solutions?

• 
• 
• 
• 

An ordered pair in a system that makes all equations true is

• consistent system

• system of linear equations

• solution of a system to linear equations

• independent system