Identifying Solutions of Systems of Linear Equations

These two lines intersect at _____

• (4, -2)

• (4, 2)

• (-2, 4) 

• No solution

Tags

CCSS.8.EE.C.8B

How many solutions does this system of equations have?

• One Solution

• No solution

• Infinitely Many Solutions

• Two Solutions

Tags

CCSS.8.EE.C.8A

This system has _____ solutions

• no

• 1

• 2

• Infinitely many

Tags

CCSS.8.EE.C.8B

What is the solution to the system?

• (0, 3)

• (1, -1)

• (-3, 1)

• (1, 3)

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

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 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

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

*check ALL that apply

• 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

Check which of the following options is not the solution of the equation: 2x – y = 6

• (2, 4)

• (3, 0)

• (7/2,1)

• (2, -2)

Answer explanation

2x - y = 6 Taking (x = 2, y = 4) L.H.S = 2(2) - 4 = 0 ≠ R.H.S Therefore, (2, 4) is not the correct solution of the equation 2x - y = 6 Options 2, 3 and 4 are the solutions of the equation 2x - y = 6