Linear Equations Solution or Not

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

• parallel

• always coincident

• always intersecting in a unique point 

• intersecting or coincident

The solution for the lines represented by x = 0 and y = 0 is ____

• (0, 0)

• No Solution exist

• Infinitely many solutions

• All the points the axes are solutions 

Identify the nature of solution from the graph given.

• Consistent and unique solution

• Inconsistent : No solution

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

• intersecting lines

• parallel lines

• coincident lines

If a system of linear equations has one solution, what does this mean about the two lines?

• Parallel lines

• the same line

• Intersecting lines

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

•  parallel

• always coincident

• intersecting or coincident

•  always intersecting

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.