1. A system of linear equations allows the relationship between two or more linear equations to be compared and analyzed. 5.1 – Systems of Linear Equations in Two Variables and Applications

2. Determine whether (3, 9) is a solution of the following system. Both statements are true, therefore (3, 9) is a solution to the given system of linear equations. 5.1 – Systems of Linear Equations in Two Variables and Applications

3. Solving Systems of Linear Equations by Graphing 5.1 – Systems of Linear Equations in Two Variables and Applications

4. Solution Solving Systems of Linear Equations by the Addition Method (Also referred to as the Elimination Method) 5.1 – Systems of Linear Equations in Two Variables and Applications

5. Solution Solving Systems of Linear Equations by the Addition Method (Also referred to as the Elimination Method) 5.1 – Systems of Linear Equations in Two Variables and Applications

6. Solving Systems of Linear Equations by Substitution Solution 5.1 – Systems of Linear Equations in Two Variables and Applications

7. Solving Systems of Linear Equations by Substitution Solution 5.1 – Systems of Linear Equations in Two Variables and Applications

8. A first number is seven greater than a second number. Twice the first number is four more than three times the second number. What are the numbers? Substitution Method 1 st number is x, 2 nd number is y Solution 5.1 – Systems of Linear Equations in Two Variables and Applications

9. For a particular show the price of an adult ticket is $2.00 and a child's ticket is $1.50. A total of 300 tickets were sold for $525. How many adult and children’s tickets were sold? TicketsTypePriceCost Adult Child Total A $2.00 C 2A 1.5C$1.50 300 $525 5.1 – Systems of Linear Equations in Two Variables and Applications 150 Adult tickets 150 Children’s tickets Elimination Method

10. 5.2 – Systems of Linear Equations in Three Variables and Applications Solve the Systems of Linear Equations

11. 5.2 – Systems of Linear Equations in Three Variables and Applications Solve the Systems of Linear Equations

12. The value of 12 coins is $1.20. The coin are nickels, dimes and quarters. The number of dimes is two more than twice the number of nickels. How many nickels, dimes and quarters are there? Elimination Method nickels dimes quarter 5.2 – Systems of Linear Equations in Three Variables and Applications