Question

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

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

Answer:

Correct option is:

the quantity 3x minus 4y all over the quantity 4x plus 3y

Step-by-step explanation:

We have to simplify:

quantity x over 4 minus y over 3 all over the quantity x over 3 plus y over 4 can be written as:

$\dfrac{\dfrac{x}{4}-\dfrac{y}{3}}{\dfrac{x}{3}+\dfrac{y}{4}}$

Which is equivalent to:

$\dfrac{\dfrac{3x-4y}{12}}{\dfrac{4x+3y}{12}}$

which is equal to:

$\dfrac{3x-4y}{4x+3y}$

Hence, the correct option is:

the quantity 3x minus 4y all over the quantity 4x plus 3y