Solve Linear Systems by Graphing

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Presentation transcript:

Solve Linear Systems by Graphing SECTION 3.1 Solve Linear Systems by Graphing

California Standard: 2.0: Students solve a system of two linear equations in two variables algebraically and are able to interpret the answer graphically. Students are able to solve a system of two linear inequalities in two variables and to sketch the solutions sets.

OBJECTIVE(S): By following instructions, students will be able to: Identify the number of solutions of a linear system.

EXAMPLE 1: Graph the system and determine the number of solutions

EXAMPLE 2: Graph the system and determine the number of solutions

U-TRY #1: Tell whether the linear system has no solution or infinitely many solutions. a) b)

NUMBER OF SOLUTIONS One Solution The lines intersect The lines have different slopes. Consistent, independent No Solution Parallel lines SAME SLOPE, DIFFERENT y-intercepts inconsistent Infinitely Many Solutions SAME LINE SAME SLOPE and Y-INTERCEPTS Consistent, dependent

EXAMPLE 4: Without graphing the linear system, tell whether the linear system has one solution, no solution, or infinitely many solutions. a) b)

HOMEWORK Sec 7.5 page 462 #5-13 ODD, 15- 23 ODD (Using the Properties learned in class)