Identify Solutions of Systems of Equations

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

What point is a solution to the system of equations below?

3x + 2y = 16

7x + y = 19

• (-2,5)

• (-2,-5)

• (2,-5)

• (2,5)

Determine if (4, 1) is a solution for the system of equations.
y = -x + 5
y = 2x - 7

• yes

• no

Which point is a solution to the system of equations above?

• (-2, 4)

• (-2, -4)

• (2, -4)

• (2,4)

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

Tags

CCSS.8.EE.C.8A

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)

Tags

CCSS.8.EE.C.8B

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

Tags

CCSS.8.EE.C.8B

CCSS.HSA.REI.C.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)

Tags

CCSS.8.EE.C.8B

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

Tags

CCSS.8.EE.C.8B

CCSS.HSA.REI.C.6

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

• 
• 
• 
• 

Tags

CCSS.8.EE.C.8A