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Solve by Graphing
Solve Using Substitution
Solve Using Elimination
Systems in General
100
What is the solution to the system as given by the picture Mrs. G will put up.
What is (3, -2)
100
y = -2 4x - 3y = 18
What is (3, -2)
100
−4x − 2y = −12 4x + 8y = −24
What is (6, -6)
100
What are you looking for when you solve a system of linear equations?
What is an intersection, an ordered pair where the lines cross
200
Graph y = 4x + 3 and y = -x -2 and solve
What is (-1,-1)
200
2x − 3y = −1 y = x − 1
What is (4,3)
200
x − y = 11 2x + y = 19
What is (10, -1)
200
Is the ordered pair (0, 1) a solution to the system? 16x − 10y = 10 −8x − 6y = 6
What is no, [but (0,-1) is].
300
Solve by graphing: y = -1, y = -5/2 x + 4
What is (2, -1)
300
−3x − 3y = 3 y = −5x − 17
What is (-4,3)
300
7x + 2y = 24 8x + 2y = 30
What is (6, -9)
300
When would a system of linear equations have no solutions?
What is when the lines are parallel
400
solve by graphing: y = 3x - 4 and y = -1/2 x + 3
What is (2,2)
400
−7x − 2y = −13 x − 2y = 11
What is (3, -4)
400
5x + y = 9 10x − 7y = −18
What is (1,4)
400
Can a system of linear equations have more than one solution?
What is yes, when the lines are the same there are infinite number of solutions.