you need to leave M alone in one side of the equity.
Every time you pass a term form one side to the other it changes its sings (ej: if it is positive, goes to the other side negative; if it is multiplying goes to the other side dividing, and so long...If you need an explanation for this, read the end of the answer)
So,
1.- M goes to the other side multiplying
a*M= F
2.- A goes dividing to the other side
M=F/a
And ther you go!
* (it changes sing from one side to another, becasue what you really do is multiply, divide, add or subtract the terms to eliminate them. For example, using the same problem
1.- You need to have M alone in one side of the equity, so to eliminate the M from the right side, you multiply all the terms by M. So you have: a*M = M*F/M
Since M/M es 1, you can eliminate the M from the right side.
2.- Using addition, you have X-Y = A*D
If you want to leave alone the X, you need to eliminate the Y from the left side. So what you do is add to the entire equity Y.
So: X-Y+Y=(A*D)+Y
Since -Y+Y is 0, you can eliminate it from the left side, and lef X alone.
All this is the long step... if you remember the rule of changing sings, you will save the time of doing this. Remember:
+ goes - to the other side of the = (a+b=1 ---> a = 1-b)
- goes + to the other side of the = (a-b=2 ---> a = 2+b)
* goes / to the other side of the = (a*b= 3 ---> a = 3/b)
/ goes * to the other side of the = (a/b = 2 ----> a= 3*b)
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Verified answer
a=F/M
you need to leave M alone in one side of the equity.
Every time you pass a term form one side to the other it changes its sings (ej: if it is positive, goes to the other side negative; if it is multiplying goes to the other side dividing, and so long...If you need an explanation for this, read the end of the answer)
So,
1.- M goes to the other side multiplying
a*M= F
2.- A goes dividing to the other side
M=F/a
And ther you go!
* (it changes sing from one side to another, becasue what you really do is multiply, divide, add or subtract the terms to eliminate them. For example, using the same problem
1.- You need to have M alone in one side of the equity, so to eliminate the M from the right side, you multiply all the terms by M. So you have: a*M = M*F/M
Since M/M es 1, you can eliminate the M from the right side.
2.- Using addition, you have X-Y = A*D
If you want to leave alone the X, you need to eliminate the Y from the left side. So what you do is add to the entire equity Y.
So: X-Y+Y=(A*D)+Y
Since -Y+Y is 0, you can eliminate it from the left side, and lef X alone.
All this is the long step... if you remember the rule of changing sings, you will save the time of doing this. Remember:
+ goes - to the other side of the = (a+b=1 ---> a = 1-b)
- goes + to the other side of the = (a-b=2 ---> a = 2+b)
* goes / to the other side of the = (a*b= 3 ---> a = 3/b)
/ goes * to the other side of the = (a/b = 2 ----> a= 3*b)
a = F/M.
a/F = F/MF.
a/F = 1/M.
F/a = M/1.
F/a = M.