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Graphing
Substitution
Elimination
Vocab
Marvel Superheros
100
x + 3y = 6 4x - 5y = 7
(3, 1)
100
y = 5x - 10 y = 3x + 8
(9, 35)
100
-x + y = 5 x - 5y = -9
(-4, 1)
100
A system with one solution
Consistent, independent
100
Peter Parker
Spiderman
200
y = x + 4 y = -2x + 1
(-1, 3)
200
y = -3x + 2 y = -4x + 20
(18, -52)
200
x + y = 12 x - y = 2
(7, 5)
200
A system with infinitely many solutions
Consistent, dependent
200
Tony Stark
Iron Man
300
y = x + 6 y = -3x + 6
(0, 6)
300
x = y - 8 x = -y
(-4, 4)
300
x - 10y = 60 x + 14y = 12
(40, -2)
300
A system made up of two equations that represent the same line
Consistent, dependent
300
Bruce Banner
The Hulk
400
y = 1/2x + 2 y = -x - 1
(-2, 1)
400
y = x + 5 4x + y = 20
(3, 8)
400
2x + 3y = 12 5x - y = 13
(3, 2)
400
A system made up of parallel lines
Inconsistent
400
Logan
Wolverine
500
y = x y = -x + 6
(3, 3)
500
x - 2y = 10 1/2x - 2y = 4
(12, 1)
500
2x + 4y = -4 3x + 5y = -3
(4, -3)
500
A system with no solutions
Inconsistent
500
Natasha Romanova
Black Widow