Solving Systems of Linear Equations: Graphing
Solving Systems of Linear Equations: Substitution
Solving Systems of Linear Equations: Elimination
Special Cases
100
How many solutions can a system of linear equations have?
3...one, no solution, or infinitely many solutions
100
What is the solution to the system?
y = 3
2x + y =7
(2,3)
Triple Points
100
Solve the system.
2x+y=9
-2x+y=9
(0,9)
100
One solution, No Solution, or Infinitely Many Solutions
y=2x+4
y=2x+5
No solution
200
Your Team loses a turn...question is passed to the team with the lowest amount of points.
How many solutions will a set of parallel lines have?
Zero
Double Points
200
What is the solution to the system?
y=5x
y=2x + 3
(1,5)
200
Solve the System of Equations
2x + y =4
3x - y = -14
(-2,8)
200
One solution, No Solution, or Infinitely Many Solutions
y+3x=7
y+3x=7
infinitely many solutions, same slope and same y-intercept
300
How many solutions are represented in the graph?
1 solution
300
What is the solution to the system?
y=2x
3x+y=20
(4,8)
300
Solve the System of equations.
2x - y = -6
-4x + y = 8
(-1,4)
Double Points
300
One solution, No Solution, or Infinitely Many Solutions
y=3x - 9
y=9x+3
One solution, different slopes
Triple Points
400
14) What is the solution to the system of linear equations?
(2,2)
400
Solve the system of equations.
y=x+6
2x+y=18
(4,10)
400
Math is the Best
Free Points!!! Congrats
400
One solution, No Solution, or Infinitely Many Solutions
2x - 3y = 5
-2x + 3y = -5
Infinitely Many Solutions
500
What is the solution to the system of linear equations?
Infinitely many solutions
500
Solve the system of equations.
y=x - 5
2x - 3y=10
(5,0)
500
Solve the system of equations.
-3x + 2y = 4
x - 6y = 4
(-2,-1)
500
A set of parallel lines will have no solution...is this consistent dependent, consistent independent, or inconsistent?
inconsistent