Clint's webpage that better get him a good grade
Hi!! i'm clint. i ride bikes.  i hate computers.  computers hate me.  this page is a project assignment; it was supposed to be mathfully helpful, but i littered it with bike pictures to give it some pizazz so if you don't get the math, you can still see some nice bike style.

                            Word Problem! 
The sum of a certain number(x) and a second number(y) is -42.  The first number minus the second is 52.  Find the numbers

 

 Now, first of all, you HAVE to get two equations.  I used x for the first number and y for the second number.  The most obvious equations are X+Y=-42  &  X-Y=52.  Next, do whatever you have to do to COMBINE the two equations into one.The simplest thing to do is add.  The answer then is  2x=10. now it's easy stuff, divide by two and x=5.  Now, the last step; plug it in, plug it in.plug x in any equation(we'll pick the first)  5-y=52.  More easy stuff, subtract by 5 and you get -y=47.  Since negative y is bad, flip-flop signs and your done!
x=5          y=-47
                              Substitution!
x-y=-15  &  x=y=-5

 

 Since you already have two equations,do ANYTHING to combine the two(with this problem adding is easiest)  You end up with 2x=-20.  Time for the easy stuff, divide by two and X=10.  Now, the last step;plug it in, plug it in.-10+y=-5, just add 10 to each side and Y=5.  That's it, your done=  X=10  &  Y=5 

 

 
Linear Combo's!

7X+2Y=-1  &  3X-4Y=19

 

 In this example, your already given two equations, but they need some work.  The easiest thing to do is multiply the top by 2, giving you:   14X+4Y=-2  &  3X-4Y=19.  Now, to combine them, just add.  17X=17.  Duh, divide by 17 and get X=1.  LAST  STEP- plug it in, plug it in.  14(1)+4Y=-2,  14+4Y=-2.  Now it's time for simple algebra, subtract 14, giving you 4Y=-16.  Divide by 4 and get Y=-4. 
X=1  &  Y=-16
Now, since Carrie Anne made us all look bad by impressing Mrs.Felz with practice problems, I thought I'd throw in a few too.  After all it's not who you know, it's who you nose.

Word Problems

The sum of three numbers is 105.  The third is 11 less than ten times the second.  Twice the first is 7 more than three times the second. Find the numbers.  Answer:17,9,79
The sum of three numbres is 5.  The first number minus the second plus the third is 1.  The first minus the third is 3 more than the second.  Find the numbers. Answer:4,2,-1
In triangle ABC, the measure of angle B is 2 degrees more than three times the measure of angle A.  The measure of angle C is 8 degrees more than the measure of angle A.  Find the angle measures.  Answer:A=34 degrees
                  B=104 degrees
                   C=42 degrees

Substitution

2y + x = 1
3y - 2x = 12		 Answer:(-3,2)
5x + 3y = 6
x - y += -1		 Answer:(3/8,11/8)
5x + 3y += 17
-5x + 2y = 3		 Answer:(1,4)
Linear Combo
 
 
3x + 5y =30
5x + 3y =34		 Answer: (5,3)
.2x + .3y =.1
.03x - .01y =.07		 Answer: (2,-1)
3/5x +2/3y =14
3/4x - 1/3y =14		 Answer:(20,3)

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