Question

X/b-b = x/a-a solve for x?​

Answer 1

Answer:

$to \: find \\ x$

We know

$= > \: \frac{x }{b} - b = \frac{x}{a} - a$

$= > \frac{x - {b}^{2} }{b} = \frac{x - {a}^{2} }{a}$

$= > a(x - {b}^{2}) = b(x - {a}^{2} )$

$= > ax - a {b}^{2} = bx - {a}^{2}b$

$on \: rearranging \: the \: terms$

$ax - bx = a {b}^{2} - {a}^{2}b$

$x(a - b) = ab(b - a)$

$x(a - b) = - ab(a - b)$

On Cancelling

$(a - b)$

$= > x = - ab$

Hence The Value of x is -ab

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