Linear Equations with Two Variables

If a system of equations has no solution, what does the graph look like? 

• intersecting lines

• parallel lines

• skew lines

• intersecting lines

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

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

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

• No  solution

• Infinite many solution

• Unique solution

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

• No  solution

• Infinite many solution

• Unique solution

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)