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
