The document discusses methods for solving systems of linear equations, including the elimination method which involves getting coefficients that differ only in sign, adding equations to eliminate variables, back-substituting values, and checking solutions. It also covers types of solutions and provides examples of using the elimination method to solve systems of equations. The assignment is to complete practice problems from the textbook.

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7.2 Systems of
Equations
Essential Question:
What are the methods for solving a system of equations
and their types of solutions?
Standard: Linear Algebra 1.0
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Methods for Solving Systems of
Linear Equations-
1.
2.
3.
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Elimination Method:
1. Get coefficients for one variable that differ only
in sign by multiplying all terms in one or both
equations.
2. Add equations to eliminate one variable and solve.
3. Back-substitute the value and solve for remaining
variables.
4. Check solution in all original equations.
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Ex. 1) Solve this system.
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Types of Solutions:
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Ex. 2) Solve the system.
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Ex. 3) Solve the system.
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Assignment:
7.2 p. 515 #11, 15,
19, 21, 25, 32, 39
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