contestada

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

Respuesta :

we are given

[tex]y=\frac{2x+4a}{6b}[/tex]

we can solve for a

We will isolate 'a' on anyone side

step-1:

multiply both sides by 6b

[tex]6b*y=6b*\frac{2x+4a}{6b}[/tex]

[tex]6by=2x+4a[/tex]

step-2: Subtract both sides by 2x

[tex]6by-2x=2x+4a-2x[/tex]

[tex]6by-2x=4a[/tex]

step-3: Divide both sides by 4

[tex]\frac{6by-2x}{4} =\frac{4a}{4}[/tex]

[tex]\frac{6by-2x}{4} =a[/tex]

[tex]\frac{2(3by-x)}{4} =a[/tex]

[tex]\frac{(3by-x)}{2} =a[/tex]

so, we get

[tex]a=\frac{(3by-x)}{2} [/tex]..............Answer

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