First we wanted to find out what Systems of Linear Equations actually was. So we went to google and searched it. We went to the third link which was, Systems of Linear Equations: Solving by Substitution. It told us to make two equations out of the information we knew and solve for one of the variables ( x or y) using either of the equations. It looked like this:

our two equations were:

35x + 2oy= 940000 (X and Y being the number of people who bought the tickets)

x+y=36500

We sloved for Y using the second equation

x+y=36500 (although it doesnt really matter what equation you use)

y=-x+36500

Now that we know what y equals we plugged it into the first equation and solved for x:

35x+20y=940000

35x+20(-x+36500)=940000

35x+(-20x+730000)=940000

35x-20x+730000=940000

15x+730000=940000

-730000 -730000

15x=210000

15x/15=210000/15

**x=14000**

Now that we know x, we can solve for y:

x+y=36500

14000+y=36500

-14000 -14000

**y=22500**

So in the end there was 14000 tickets that were worth $35, and 22500 tickets that were worth $20.

Becky and Cindy Lou
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