Systems of Equations in Two Variables.

0:00 Systems of Equations in Two Variables introduction. Independent System [One Solution].

Inconsistent System [No Solution].

Dependent System [Infinitely Many Solutions]

2:17 Determine whether the ordered pair ( 5, 1) is a solution to the given System of Equations: x + 3 y = 8 2 x - 9 =y

4:23 Example of Solving a System of Equations in Two Variables by Graphing using the Slope-Intercept Form.

7:39 Example of Solving a System of Equations in Two Variables by Graphing using the Standard Form method in Graphing " Y-int and x-int".

11:00 Example of Solving a System of Equations in Two Variables by the Substitution Method.

15:00 Example of Solving a System of Equations in Two Variables by the Addition Method.

17:56 Example of Using the Addition Method when multiplication of ONE Equation is Required.

21:20 Example of Using the Addition Method when multiplication of BOTH Equations is Required.

25:34 Example of Solving an Inconsistent System of Equations.

27:46 Example of Solving a Dependent System of Equations in detail. Same line, same slope, and y-intercept, Infinitely Many Solutions.

32:25 Real-World Application problem, " Adult Tickets and Child tickets...".

38:00 Real-World Application problem, " Nickels and Dimes...".