Algebra 2Algebra 2

BellworkBellwork

Graph the following lines on the same coordinate plane.

y = 2x - 1y = -2x + 5

Algebra 2Algebra 2

Graphing Systems of EquationsGraphing Systems of Equations

Lesson 3-1

Algebra 2Algebra 2

Graphing Systems of EquationsGraphing Systems of Equations

Lesson 3-1

Multiple Choice: Which ordered pair of numbers is the is the solution to the system?

A. (1,-4) B. (-6,-4) C. (-1,-3) D. (-3,-2)

x + 2y = -72x - 3y = 0

Algebra 2Algebra 2

Solve the system by graphing.

Lesson 3-1

Graphing Systems of EquationsGraphing Systems of Equations

x + 3y = 23x + 3y = –6

Check: Show that (–4, 2) makes both equations true.

Graph the equations and find the intersection. The solution appears to be (–4, 2).

Additional Examples

x + 3y = 2 3x + 3y = –6(–4) + 3(2) 2 3(–4) + 3(2) –6(–4) + 6 2 –12 + 6 –6 2 = 2 –6 = –6

Algebra 2Algebra 2

Graphing Systems of EquationsGraphing Systems of Equations

2x + y = 5-x + y = 2

Lesson 3-1

Additional Examples

Solve the system by graphing. Check your solution.

Algebra 2Algebra 2

Graphing Systems of EquationsGraphing Systems of Equations

x = 5y = x

Solve the system by graphing. Check your solution.

Lesson 3-1

Algebra 2Algebra 2

Graphing Systems of EquationsGraphing Systems of Equations

Lesson 3-1

Algebra 2Algebra 2

Classify the system as independent, dependent or inconsistent.

Lesson 3-1

Graphing Systems of EquationsGraphing Systems of Equations

y = 3x + 2–6x + 2y = 4

Additional Examples

-3x + y = 4x – 1/3y = 1

Algebra 2Algebra 2

Lesson 3-1