How do you change this formula?

Question

A*B
-------=X
A+B

I want to move A to other side of = and same thing to X.

Answer 1

AB / (A + B) = X
AB = X (A + B)
AB = XA + XB
AB - XA = XB
A(B - X) = XB
A = XB / (B - X)

AB - AX = XB
AB = AX + XB
AB = X(A + B)
X = AB / (A + B)

Answer 2

A*B
-------=X
A+B

Just cross multiply. X is the same as X/1

A*B ..........X
------- = -------
A+B ..........1

1(A*B) = X(A+B)

From here, if you want to solve for A, you need to distribute the A on the right side and then get all the A's on the same side.

A*B = A*X + B*X
A*B - A*X = B*X

Factor out A on the left side and then get the rest of the variables to the other side by dividing both sides by (B-X).

A(B - X) = B*X
A = (B*X) / (B - X)

Answer 3

You are looking for Lateral Equation.

1.) A * B
-------- = X
A + B

Solve for A :

A * B
------- = X
A +B

Multiply X by A + B. Uncopy the denaminator.

A *B =AX + BX

Divide the whole equation by B. And factor AX + BX.

X (A + B )
A = --------
B

Now, try solving for B, okey !?

Hope you can do it.

Wishing you the best !

Answer 4

Divide the top and bottom of the fraction by AB, so

1
-------------- = X
1/A + 1/B

Now flip everything
1/A + 1/B = 1/X

1/A = 1/X - 1/B

A = 1/[1/X - 1/B]
If you multiply the right side by BX/BX you get

A = BX/(B - X)

Answer 5

A*B/A+B=X

FIRST LETS PUT X ON THE OTHER SIDE OF TH E EQUATION MINUS X FROM BOTH SIDES

(A*B/A+B)-X=0

LETS NOW MOVE (A*B/A+B) TO THE OTHER SIDE SUBTRACT (A*B/A+B) FROM BOTH SIDES OF THE EQUATION

-X=-(A*B/A+B)

MULTIPLY BOTH SIDES OF THE EQUATION BY -1

X=(A*B/A+B)

FINALLY REMOVE THE PARENTHESIS FROM A*B//A+B

X=A*B/A+B

ANWSAR X=A*B/A+B

Answer 6

first u do a croos multiplication:

AB x
----- = -----
A+B 1


AB (1) = x (A+B)
AB = x (A+B)

the last step is do division:

x= AB
------
(A+B)

if u confuse, here is a simple example:
assume AB is a and
assume (A+B) is c

so AB= x(A+B)
which assume a= xc
then x= a/c

conclusion:

x = AB
------
(A+B)


easy right?

Answer 7

A*B/(A+B)=X
=> (A+B)/A*B=1/X
=>A/A*B +B/A*B =1/X
=>1/B +1/A=1/X
=>1/B -1/X = - 1/A
=>(X-B)/BX=-1/A
=>(B-X)/BX=1/A
=>BX/(B-X)=A

Answer 8

A*B=XA+XB
A*B-XA=XB
A(B-X)=XB

A=XB/(B-X)

Answer 9

AB/(A+B)=x
AB=x(A+B)
AB/x=A+B
B/x=(A+B)/A
B/x=1+B/A
(B/x)-1=B/A
A=B/((B/x)-1)
A=Bx/(B-x)

Answer 10

A*B = X(A+B)
done!