Question

If x+4/4 = y+7/7 then x/4 =___.
(Number 9 is the one I need an answer for)

Answer 1

4th answer is correct

Explanation:

First, let us make x the subject.

`\sf (x+4)/(4) =(y+7)/(7)`

Use cross multiplication.

`\sf 7(x+4)=4(y+7)`

Solve the brackets.

`\sf 7x+28=4y+28`

Subtract 28 from both sides.

`\sf 7x=4y+28-28\\\\\sf7x=4y`

Divide both sides by 7.

`\sf x=(4y)/(7)`

Now let us find the value of x/4.

To find that, replace x with (4y/7).

Let us find it now.

`\sf (x)/(4) =((4y)/(7) )/(4) \\\\\sf (x)/(4) =(4y)/(7)*(1)/(4) \\\\\sf (x)/(4) =(4y)/(28)\\\\\sf (x)/(4) =(y)/(7)`