Chapter 6‎ > ‎

### 6.1 Graphing System of Equations

Standard(s):

• A.REI.C.6: Solve systems of linear equations exactly and approximately (e.g., with graph), focusing on pairs of linear equations in two variables.
• A.REI.D.11:Explain why the x-coordinates of the points where the graph of the equations y = f(x) and y = g(x) intersect are the solutions of the equation f(x) = g(x); find the solutions approximately, e.g., using technology to graph the functions, make tables of values, or find successive approximations. Include cases where f(x) and/or g(x) are linear, polynomial, rational, absolute value, exponential, and logarithmic functions.*

Essential Question:

• How can I use Algebra to describe the relationship between sets of numbers?
• In what ways can the problem be solved, and why should one method be chosen over another?

Learning Target:

• I can graph the system of equations on coordinate axes with appropriate labels and scales.(Synthesis)
• I can define systems of linear equations.(Knowledge)
• I can define solutions of systems of equations.(Knowledge)
• I can explain why some linear systems have no solutions.(Comprehension)
• I can identify linear systems with no solutions.(Comprehension)
• I can explain why some linear systems have infinite solutions.(Comprehension)
• I can identify linear systems with infinite solutions.(Comprehension)
• I can find an exact solution to a system of linear equation by graphing.(Knowledge)
• I can explain that a point of intersection on the graph of a system of equations is the solution to both equations. (Comprehension)
• I can explain why the intersection point(s) of two graphs represent common solutions to two equations.(Comprehension)
• I can use technology to determine the solutions to a system of equations.(Application)

Warm-Up:

Notes:

Click on the image below for the PDF of the notes 6.1 Graphing System of Equations

Video:

Click below for the Classroom Lesson -  6.1 Graphing System of Equations

Watch this video on Graphing System of Equations

Watch this video on Graphing System of Equations