Question

What is the simplified form of the quantity x over 3 plus y over 4 all over the quantity x over 4 minus y over 3? the quantity 4x plus 3y all over the quantity 3x minus 4y the quantity 4x minus 3y all over the quantity 3x plus 4y the quantity 3x plus 4y all over the quantity 4x minus 3y the quantity 3x minus 4y all over the quantity 4x plus 3y

Answer 1

Option A)
`(4x+3y)/(3x-4y)`

Explanation:

The given expression is:

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

Taking LCM in upper and lower fractions, we get:

`((x)/(3)+(y)/(4))/((x)/(4)-(y)/(3))\\\\ =((4x+3y)/(12))/((3x-4y)/(12))\\\\\text{Cancelling out the common factor 12, we get:}\\\\ =(4x+3y)/(3x-4y)`

Therefore, the option A gives the correct answer.