Consistent System of Equations

• Yes

• No

What is the value of the x-coordinate to the solution to this system of linear equations? 2x + 3y = 15 and -x + 3y = 3

• 3

• -3

• 6

• 4

What is the value of the y-coordinate in this system of linear equations?

6x + 10y = -32 and 6x + 9y = -27

• y = 5

• y = 0

• y = -5

• y = 1

When both lines in a system are identical, the system has __________________.

• infinite solutions

• one solution

• no solution

• parallel solutions

If a system of linear equations has one solution, what does this mean about its slopes and y - intercept?

• Equal Slopes and Equal y-interceps

• Equal Slopes but Not Equal y-intercepts

• Not Equal Slopes and Either Equal or Not Equal y-intercepts

• None of the above

Which of the following are ways to solve systems of equations? 

• Graphing

• Substitution

• Elimination

• All of the above

Identify the nature of solution from the graph given.

• Consistent and unique solution

• Inconsistent : No solution

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

• Parallel lines

• the same line 

• Intersecting lines

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

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