MICHELLE'S MATH MECHANICS!

** You can change the equation by Cross Multipying!**
        -multipy the 3 by 2y-3 (that will go on one side of the =)
        -multipy the 4 by 6y+7 (that will go on the other side of the =)
 

**Your problem will then look like the following**

3(2y-3)=4(6y+7)

**You then do the distributive property to get rid of the ( ).**
    -3x2y=6y and 3x-3=-9
    -4x6y=24y and 4x7=28
 

**Your problem would then look like the following**

6y-9=24y+28

**You now need to get the variables all on one side.

To do this you need to subtract 6y from both sides.

6y-9=24y+28 -6y      -6y       -9=18y+28

**After you have subtracted the 6y from both sides you now need to get the 28 to the side were the -9 is because you want the variable by itself.

-9=18y+28  -28         -28  -37=18y

 **You still have not gotten the variale by itself.**
 

**You must divide -37 by both sides. That will then get the variable on one side.**

-37=18y -37   -37

**The -37 cancle out.
 

**Divide 18y by -37 which will leave you with the variable on one side of the = sign and answer on the other side.

18y -37     y = -.49

***You can take two/four decimal places behind the decimal, which ever you perfer.***
 

 

**How do you solve literal equations?

K=1 V * 2-G * M 2   2                   r

**This is an equation for Conservation of Energy. (Notice it only has variables to solve for.)
 

**How do you solve for

:G

**Rewrite the equation to make it more simple.
 

**Multiple both sides my the 2 to get ride of the fraction of K                 2

K=V- GM              r

**The G and the M are joined together in the fraction because all you are doing is multiplying the two variables so therefor they can both be in the fraction which will simplize your problem.**
 
 

**The next step is to get the V variable on the side with the K variables. To do this you must subtract the V from both sides.

K=V- GM -V  -V     r

** Your problem will then look like the following.**

      K-V= -GM
                    r
 
 

**Now you must multiply the r variable by both sides.

K-V= -GM * r            r  * r

**Your problem will then look like the following.**

      r(K-V)= -GM
 
 

**Now you must divide both sides by the M variable.

r(K-V)= -GM      M        M

**Your problem will then look like the following.**

               r(K-V)= -G
                     M
 

**The last step that must be done to get the G variable by itself is divide by a negative to get ride of it. Your compelted equation will then look like the following.

-r(K-V)=G      M

Equations For Lines!!!!

**THIS LINE CONTAINS THE POINTS (-2,4) AND HAVING A Y- INTERCEPT OF 8.
 
 
 

**REMEMBER THAT..... Y=mx + b** ALL YOU HAVE TO DO IS PLUG IN THE VARIABLE'S NUMBERS**SOLVE FOR M**

Y=4  X=-2  B=8    4=m(-2) + 8 Y=2x+8

**YOU CAN ALSO WRITE THE EQUATION IN POINT SLOPE.
 
 

**ALL YOU HAVE TO DO IS PLUG IN THE NUMBERS GIVEN THE EQUATION Y1-Y2=m(X1-X2)**TO DETERMINE IF THE VARIABLE IS NEGATIVE OR POSITIVE YOU JUST SWITCH THE SIGN.

Y-4=2(X+2)

**THE LAST EQUATION YOU CAN WRITE IS STANDARD FORM.**
 
 

**WHEN DOING STANDARD FORM YOU JUST GET ALL OF YOUR VARIABLES TO THE RIGHT SIDE OF THE = SIGN.**THE SIGNS CHANGES BECAUSE YOU DON'T WANT A NEGATIVE IN THE FRONT.

2X-Y=-8