Kinds of Systems of Linear Equations

What type of system is being described by the graph?

• Consistent but Independent

• Inconsistent

• Dependent

• Independent

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

Does the following system have One Solution, No Solution, or Infinite Solutions.  
y = 4x + 8
y = -5x + 3

• One solution

• No solution

• Infinite solution

The same line on a graph, has how many solutions?

• One solution

• Infinite solutions

• No solution

Intersecting lines have how many solutions?

• One solution

• No solutions

• Infinite solutions

Buzz graphed two lines in order to find the solution to a given system of equations.
What is the solution?

• (-1, 4)

• (1, -4)

• (-4, 1)

• (4, -1)

Solve for x and y
y = 2x + 1
y = 4x - 1

• (1,3)

• (-1,-3)

• (-1,3)

• (3,1)

What is the solution to the system?
8x + 4y = 12
y = -2x + 3

• (0,3)

• (3,0)

• No solution(parallel lines)

• Infinitely many solutions

Solve for x and y.
y = 2/3x - 2
y = -x + 3

• (0,3)

• (0,-3)

• (3,0)

• (-3,0)

Solve the system of equations by elimination.
-x + y = -13
-8x - 4y = -8 

• (5, 8)

• (5, -8)

• (-5, -18)

• (-5, 8)