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OCTOBER 13 , 2009
Solving Systems of Equations
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Objectives
Content ObjectivesReview the addition/elimination method.Learn the substitution method.Language ObjectivesEveryone participates, actively listening
and/or being called on.Demonstrate knowledge in writing
(homework).
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Page 817 # 1
2x -y=1-2x+3y=5
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Page 817 # 2
x +3y=122x-3y=6
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Page 817 #3
4x +3y= -55x +3y= -8
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Page 817 #4
2x+3y=15x+3y=16
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Page 817 #5
x +y= 83x-2y=4
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Page 817 #6
x –y=-22x+3y=21
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Inconsistent systems
Inconsistent system are systems which have no solutions.
2x-3y=14x-6y=1
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Dependent Systems
Dependent systems have an infinite number of solutions.
-15x+21y=-2715y-21y=27
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The Substitution Method
1. If necessary, solve one of the original equations for one of the variables.
2. Substitute the expression obtained in step one into the other equation to write an equation with a single variable.
3. Solve the equation in step 2.4. Plug the value you found in step 3 into one
of the original equations.5. Check your answers.
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Try it
y = 6 x − 11−2 x − 3 y = −7
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Try it
−4 x + y = 6−5 x − y = 21