Thursday, December 15, 2011

December 15, 2011

Solving Systems of Linear Equations 
Hey guys, this is Gian and I will be your scribe for today. Today in class we talked about ideas and the due date about our upcoming video project. We have decided that our video project should be due on January 22,2012 the week of Chinese New Year. Mr.P mentioned that we will be given class time to work on our project, he will also help us find editing softwares for our projects. 


We watched videos on khan academy and discussed Solving Systems of Linear Equations 



- Addition Elimination method three




Solving Systems of Linear Equations : Method 3 of Elimination 

- steps  for solving two equations, two unknowns using the elimination method :
 1. Arrange the equations so that like variables are in the same columns.
 2. Make the coefficients of one of the variables to the same for both equations. ( Multiply the LCM ) 
 3. Add or subtract the equations to eliminate one variable. Solve for the other variable. 
 4. Substitute back into either equation to solve the second variable. 
 5. State the answer as an ordered pair.
 6. Check


For example: 



Multiply the top equation so that you can cancel the first to terms out.



which will equal :


The first two terms will cancel out. 

Now your left with the rest of the equations, combine like terms and solve for y.

Check:

When checking plug in your answer in chosen equation and multiply. 


Then move the multiplied answer to the other side so that x will be left on one side.



And that's it. You're done! 







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