6-1 Solving Systems by Graphing. System of Linear Equations: two or more linear equations Solution...
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Transcript of 6-1 Solving Systems by Graphing. System of Linear Equations: two or more linear equations Solution...
6-1 Solving Systems
by Graphing
System of Linear Equations: two or more linear equations
Solution of a System of Linear Equations: any ordered pair that makes all of the equations in a system true
Problem1: Solving a System of Equations by Graphing
What is the solution of the system? Use a graph.
Problem 2: Writing a System of Equations
Scientist studied the weights of two alligators over a period of 12 months. The initial weight and growth rate of each alligator are shown below. After how many months did the alligators weigh the same amount
A system of equations that has at least on solution is consistent A consistent system can be either independent or dependent
Independent: has exactly one solution
Dependent: has infinitely many solutions
Inconsistent: a system of equations that have NO SOLUTION
Problem 3: Systems with Infinitely Many Solutions or No Solution
What is the solution of each system? Use a graph.
What is the solution of each system? Use a graph.