System of Equations: Elimination

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Presentation transcript:

System of Equations: Elimination 10-19-15 Ms. Stack

10/19 Do Now Turn your homework into the basket 

Elimination using Multiplication Consider the system 6x + 11y = -5 6x + 9y = -3 *CFUs: What is the solution of this system of equations telling me? Does anything cancel out right away? What could I change in order to cancel something out?

Elimination using Multiplication Consider the system 6x + 11y = -5 + 6x + 9y = -3 12x + 20y = -8 When we add equations together, nothing cancels out

Elimination using Multiplication Consider the system 6x + 11y = -5 6x + 9y = -3

Elimination using Multiplication Consider the system -1 ( ) 6x + 11y = -5 6x + 9y = -3

Elimination using Multiplication Consider the system x + 2y = 6 Multiply by -3 to eliminate the x term 3x + 3y = -6 CFUs: Does anything cancel out? Can I graph these on my calculator and find the point of intersection? Why/why not? Does it matter if x or y cancel out first?

Examples 1. 2. x + 2y = 5 x + 2y = 4 2x + 6y = 12 x - 4y = 16

More complex Problems Consider the system 3x + 4y = -25 2x - 3y = 6 Multiply by 2 2x - 3y = 6 Multiply by -3

Examples… 2. 1. 2x + 3y = 1 4x + y = 9 5x + 7y = 3 3x + 2y = 8

Let’s Practice Word Problems Today we will do #1 together and then you will do 2-4 on your own. Please hold on to the sheet, we will finish them tomorrow 

Exit Ticket Solve the system by using elimination: