Solve by Graphing
Substitution
Elimination
Classifying Systems
Systems of Linear Inequalities
100
y = 3x + 1 y = -x + 5
(1, 4) - Graph on board
100
8x + 2y = 19 x = 3
(3, -5/2)
100
3x + 4y = 7 2x - 4y = 13
(4, -5/4)
100
y - 3x = 1 y = 3x - 1
Inconsistent
100
2x - y > - 3
y < 2x + 3 - Graph on board
200
y + 2x = 0 2y = -x - 6
(2, -4) - Graph on board
200
3x - 2y = 2 y = 2x + 8
(-18, -28)
200
2x + 3y = 1 5x + 7y = 3
(2, -1)
200
x + y = 7 2x + 3y = 7
(14, -7) - Consistent independent
200
3x + y > 3 4x + 3y < 9
y > -3x + 3 y < -4/3x + 3 Graph on board
300
x - y = 6 x + 2y = -9
(1, -5) - Graph on board
300
x + 2y = 1 2x - 8y = -1
(1/2, 1/4)
300
3x + 1/3y = 10 2x - 5 = 1/3y
(3, 3)
300
3x + 2y = 6 9x + 6y = 18
Consistent dependent
300
y < x + 2 y > -x - 1
Graph on board
400
3x + y = 4 x - 2y = 6
(2, -2) - Graph on board
400
15x - 5y = 30 y = 2x + 3
(9, 21)
400
3a - 2b = 6 5a + 7b = 41
(4, 3)
400
x + y = 3 3x + 3y = 9
Consistent dependent
400
y - 2x > 2 2y - x < 2
y > 2x + 2 y < 1/2x - 1 Graph on board
500
2x + 3y = -12 4x - 4y = 4
(-2, -3) - Graph on board
500
x - 3y = -1 2x - 4y = 2
(5, 2)
500
2x + 3y = -6 -5x - 9y = 14
(-4, 2/3)
500
y = -4x + 6 2y = -8x - 8
Inconsistent
500
y < -1/2x - 1 y > x + 3
Graph on board
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