Question

Y= 3x-2/4+x which of the following is equal to x ? A 2y+1, B 5y+2/3, C4y+8/1-y, D 4y+2/3-y, E 2+1/y

Answer 1

`(4y+2)/(3-y)to(D)`

Explanation:

`y=(3x-2)/(4+x)`

`"multiply both sides by "4+x`

`rArry(4+x)=3x-2`

`rArr4y+xy=3x-2larrcolor(blue)"distribute left side"`

`rArrxy-3x=-2-4ylarrcolor(blue)"collect terms in x on left"`

`rArrx(y-3)=-(2+4y)larrcolor(blue)"factor out x"`

`rArrx=-(2+4y)/(y-3)larrcolor(blue)"divide by" (y-3)`

`rArrx=-(2+4y)/-(3-y)larrcolor(blue)"factor out - 1"`

`rArrx=(4y+2)/(y-3)to(D)`