7.2 Solving Systems of Equations Algebraically

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Presentation transcript:

7.2 Solving Systems of Equations Algebraically 1 Solve by Substitution 2 Examples 3 Practice Problems

Definitions System of Equations Consistent System Inconsistent System 2 or more equations on the same coordinate system Consistent System Graph of equations cross each other (not parallel) System has a solution Slope is different Inconsistent System Graph of equations do not cross each other (parallel) System does not have a solution Slope is the same

Consistent System Has a solution at (1,2) (1,2)

Inconsistent System No Solution

Solve by Substitution Steps Solve for x in the first equation Substitute the answer in for x in the second equation Solve for y Substitute the value of y into either of the original equations Solve for x Take the value of x and y and put them in ordered pair form (x,y)

Solve by Substitution Example

Solve by Substitution Example (Cont.)

Practice Problems Page 379 Problems 11-27