Systems of Equations Identifying Solutions

What is the solution of the system of equations? Make sure you answer is written as an ordered pair such as (x,y). Do not include spaces.

What is the solution of the system of equations? Make sure you answer is written as an ordered pair such as (x,y). Do not include spaces.

How many solutions do you think there are to this system of equations?

• One Solution ; one point of intersection

• No Solution ; no points intersect

• Many Solutions ; all point intersect

• Two Solutions ; two points intersect

What is the solution of the system of equations? Make sure you answer is written as an ordered pair such as (x,y). Do not include spaces.

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

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 SOLUTION to a system of linear equations is....

• the x-value that is a solution to both equations

• the y-value that is a solution to both equations

• an ordered pair that is a solution to both equations

• none of these

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

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

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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