Question

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

Answer 1

we are given

$y=\frac{2x+4a}{6b}$

we can solve for a

We will isolate 'a' on anyone side

step-1:

multiply both sides by 6b

$6b*y=6b*\frac{2x+4a}{6b}$

$6by=2x+4a$

step-2: Subtract both sides by 2x

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

$6by-2x=4a$

step-3: Divide both sides by 4

$\frac{6by-2x}{4} =\frac{4a}{4}$

$\frac{6by-2x}{4} =a$

$\frac{2(3by-x)}{4} =a$

$\frac{(3by-x)}{2} =a$

so, we get

$a=\frac{(3by-x)}{2}$..............Answer