The three most difficult words to speak are, I was wrong.. Richard M. Nixon (37th U.S. President)
So you want to know how to Graph Systems of Equations. Well then. It's a good thing that you're reading my dandy website thing on Chapter 3, Section 1... Rightfully entitled 'Graphing Systems of Equations.'Once upon a time, there lived a princess named Ophelia who lived on top of a hill. She enjoyed munching on puppies for breakfast, and so she ordered seven puppies every week, one for each magical day. On Thursday, Ophelia decided to figure out how the whole puppy purchasing thing went on, so she called her royal puppy-buyer, and asked how much the puppies cost and what different types of puppies she was consuming. The royal puppy-buyer says that he buys four Dalmatian puppies and three Beagles. Dalmatians cost $11 and Beagles cost $10. They spend $73 on puppies every week.
So let a represent Dalmatians and b represent the Beagles.
a + b = 7
11a + 10b = 73
The slope intercept of a +
b = 7 is b = a + 7.
The slope intercept of 11a + 10b = 73 is b = 11/10
a - 1.
Time to graph!

The two lines intersect at (3,4). So that means that a should equal 3, and b should equal 4. But don't be so trusting, friend! You have to check your answer. Like this:
Well, that's it for my math project... if you're having some trouble understanding this, though, you can visit another site that might be of some help to you. Like this one...
http://regentsprep.org/Regents/math/syslin/GrSys.htm
Okay, that's all.
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