Pair of linear equations in two variables

Graphically, the pair of equations 6x – 3y + 10 = 0 , 2x – y + 9 = 0 represents two lines which are

• intersecting at exactly one point
• intersecting at exactly two points.
• coincident. 
•  parallel.

Tags

CCSS.8.EE.C.8B

The pair of equations x + 2y + 5 = 0 and –3x – 6y + 1 = 0 have  

•  a unique solution
• exactly two solutions
• infinitely many solutions
• No solution

Tags

CCSS.8.EE.C.8B

If a pair of linear equations is consistent, then the lines will be 

•  parallel
• always coincident
• intersecting or coincident
•  always intersecting

Tags

CCSS.8.EE.C.8A

The value of c for which the pair of equations cx – y = 2 and 6x – 2y = 3 will have infinitely many solutions is 

• 3 
• – 3 
• –12 
• no value

Tags

CCSS.8.EE.C.8B

If the lines given by 3x + 2ky = 2 and 2x + 5y + 1 = 0 are parallel, then the value of k is 

• –5/4
• 2/ 5 
• 15/4
• 3/2

Tags

CCSS.HSG.GPE.B.5

The pair of equations x = a and y = b graphically represents lines which are  

• parallel 
•  intersecting at (b, a)
•  coincident
•  intersecting at (a, b)

Tags

CCSS.8.EE.C.8B

For what value of k, do the equations 3x – y + 8 = 0 and 6x – ky = –16 represent coincident lines?

• 1/2
• −1/2
• 2
• −2

Tags

CCSS.8.EE.C.8B

The equations 4x + 3y – 1 = 5 and 12x + 9y = 15 represent 

• No  solution
• Infinite many solution
• Unique solution

Tags

CCSS.8.EE.C.8B

The equations 4x + 3y = 5 and 12x + 9y = 15 represent 

• No  solution
• Infinite many solution
• Unique solution

Tags

CCSS.8.EE.C.8B

For which value(s) of k will the pair of equations kx + 3y = k – 3 12x + ky = k have no solution?

• 6
• −6
• ± 6
• 4

Tags

CCSS.8.EE.C.8B