Question

Solve this question
x ÷a - y÷b = a - b
ax- by = a³+ b³

Answer 1

Just like with adding and subtracting, the basic strategy of all this is to get x by itself without any negative sign in front. Remember that -x means (-1)x.

 The other thing to remember is that x is a number. That means you can multiply or divide it just like any other number..................
                                                  It's better you try without any help.........In this way, you can reach the impossible....
                                Hope this helped....................

Answer 2

HERE IS YOUR ANSWER, FRIEND.
$\frac{x}{a} - \frac{y}{b} = a - b \\ so \\ bx - ay = (a - b)ab \: .............(1)$
$ax - by = {a}^{3} + {b}^{3} ...........(2)$
Multiply equation (1) by a and (2) by b and subtract (1) from (2), to get,
$+ \binom{abx - {b}^{2} = b( {a}^{3} + {b}^{3} )}{ - abx + {a}^{2} y = - (a - b) {a}^{2} b} \\\implies y( {a}^{2} - {b}^{2} ) = {a}^{3} b + {b}^{4} - {a}^{3} b + {a}^{2} {b}^{2} \\ \implies y( {a}^{2} - {b}^{2} ) = {b}^{4} + {a}^{2} {b}^{2} \\ \implies y = \frac{{b}^{4} + {a}^{2} {b}^{2}}{{a}^{2} - {b}^{2}}$
$bx = (a - b)ab + ay \\ \implies bx = (a - b)ab + a(\frac{{b}^{4} + {a}^{2} {b}^{2}}{{a}^{2} - {b}^{2}})$