Question

Choose the equation that is equivalent to the equation shown below.

2x+4a
y= ----------------------
      6b
A. x=2x-3by

          ax-by
B. c= --------------
               z
               6y
C. b= --------------------
               2x+4a
            3by-x
D. a= -------------------------
                    2

Answer 1

we are given

`y=(2x+4a)/(6b)`

we can solve for a

We will isolate 'a' on anyone side

step-1:

multiply both sides by 6b

`6b*y=6b*(2x+4a)/(6b)`

`6by=2x+4a`

step-2: Subtract both sides by 2x

`6by-2x=2x+4a-2x`

`6by-2x=4a`

step-3: Divide both sides by 4

`(6by-2x)/(4) =(4a)/(4)`

`(6by-2x)/(4) =a`

`(2(3by-x))/(4) =a`

`((3by-x))/(2) =a`

so, we get

`a=((3by-x))/(2)`..............Answer