Solve by Graphing
Solve by Substitution
Solve by Elimination
Surprise
100
What is the solution?
(-1,1)
100
Solve the systems of equations using substitution:
-3x + 4y = -2
y = -5
(-6, -5)
100
Solve the systems of equations using Elimination:
14x + 2y = 26
-14x - 6y = -50
(1, 6)
100
What strategy would you use and explain why?
14x + 2y = 26
-14x - 6y = -50
Ex. Elimination because the coefficients of x will cancel out.
200
How many solutions are there?
No Solutions
200
DOUBLE POINT PROBLEM! Solve the systems of equations using substitution:
-5x - 5y = 10
y = -4x -17
(-5, 3)
200
Solve the systems of equations using Elimination:
-3x - 5y = 2
3x + 5y = 7
No Solution
200
DOUBLE POINT PROBLEM! What strategy would you use and explain why?
-5x - 5y = 10
y = -4x -17
Ex. Substitution because y is already solved for.
300
DOUBLE POINT PROBLEM! Solve Using Graphing:
y = 5/3x + 2
y = -3
300
Solve the systems of equations using substitution:
y = -2x - 9
3x -6y = 9
(-3, -3)
300
Solve the systems of equations using Elimination:
-6x - 10y = 4
6x + 10y = -4
Inf. Many
300
Is there 1 solution, No solution, or Infinite solutions for the system of linear equations below? Explain why.
3x - y = 19
-3x + y = 10
No solution, because it is a false statement.
400
How many solutions are there?
Infinitely Many Solutions
400
Solve the systems of equations using substitution:
-8x - 5y = -24
-x + y = 10
(-2, 8)
400
DOUBLE POINT PROBLEM! Solve the systems of equations using Elimination:
x + 8y = 2
3x + 4y = 26
(10,-1)
400
Do the Check: Is the given point a solution to the system of equations?
Point: (1/2, -2)
6x + 5y = -7
2x - 4y = -8
No
500
Solve the systems of linear equations by graphing:
4y = x - 8
-3x + 2y = 6
500
Solve the systems of equations using substitution:
-8x + y = -7
16x - 2y = 14
Infinitely Many Solutions
500
Solve the systems of equations using Elimination:
-5x + 7y = -7
-2x - 2y = 2
(0, -1)
500
Check:Is the given point a solution to the system of equations?
Point: (2,6)
x + y = 8
3x - y = 0
Yes