Linear Equations in Two Variables

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

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

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

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

• No  solution

• Infinite many solution

• Unique solution

There are 50 donkeys and chickens on a farm. There are a total of 174 legs. Which system below can be used to figure out how many of each animal the farm has?

• d + c = 174

  4d + 2c = 50

• d + c = 50

  4d + 2c = 174

• d + c = 50

  2d + 4c = 174

• d + c = 174

  2d + 4c = 50

What is the solution to a system of equations?

• The point that the equations have in common.

• The point where the two lines intersect.

• All of the above.

The ordered pair that satisfies (makes them true) all equations in the system is a called a ________________.

• system of equations

• function

• graph

• solution of a system

For what value of k will the following equations have infinitely many solutions? 2x-3y=7, (k+1) x+ (1-2k) y=5k-4

• 1

• 2

• 3

• 5

For what value of k will pair of equations have no solution? 3x+y=1 , (2k-1)x+(k-1)y=2k+1

• 1

• 2

• 3

• 4

^{What is the solution?} 

• 1

• -2

• (1, 2)

• (1, -1)