LESSON 7.2 Systems of Linear Equations

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pc c7 s2 blank notes.notebook

LESSON 7.2 Systems of Linear Equations

Graphical Interpretation - For these systems, the number of solutions is one of the following:

1. Exactly one 2. Infinitely many solutions 3. No solutions

Parallel Lines

Solution

Same Line

pc c7 s2 blank notes.notebook

Method of Elimination - main idea subtract the two equations to eliminate one of the variables.

STEPS

Obtain coefficients for x (or y) that differ only in sign by multiplying all

terms of one equation by a some constant.

Add the equations to eliminate one variable and solve the resulting

equation.

Substitute this back into one of the original equations and solve.

Check your solution in both of the original equations.

pc c7 s2 blank notes.notebook

Example

Solve the system using the method of elimination.

pc c7 s2 blank notes.notebook

Example

Solve the system using the method of elimination.

pc c7 s2 blank notes.notebook

Example

Solve the system using the method of elimination.

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