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Systems of Equations
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solve by substitution y = 5x − 7 −3x − 2y = −12
(2,3)
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What are the three different types of solutions?
one solution no solutions infinitely many solutions
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What are the four methods of solving systems of equations?
substitution graphing elimination matrices
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solve by elimination x + 3y = -5 4x - y = 6
(1,-2)
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solve by substitution y= -4x + 8 y= x + 3
(1,4)
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When you are identifying a variable to eliminate you want to look for ______ signs, but ______numbers and variables
opposite, same
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What is the first step with solving by substitution?
Isolate a variable
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solve by elimination 3x − y = 5 x + y = 3
(2,1)
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solve by elimination 2x - 5y = 11 3x + 2y = 7
(3,-1)
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How do you write the solution for a system of equation?
ordered pair
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What form do the equations need to be written in order to solve by graphing
slope intercept form
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What is the first step when solving by elimination?
Identify a variable to eliminate
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