Question

Calcule o valor de x na equação.
1+x/a=1-x/b. a e b tem q ser diferente de 0

Answer 1

$\displaystyle 1+\frac{x}{a}=1-\frac{x}{b}\\\\i)~~~\frac{a+x}{a}=\frac{b-x}{b}\\\\ii)~~\frac{a+x}{a}+\frac{b-x}{b}=0\\\\iii)~\frac{ba+bx+ab-ax}{ab}=0\\\\iv)~ba+bx+ab-ax=ab\\\\v)~~2ab+(b-a)x=ab\\\\vi)~(b-a)x=-ab\\\\vii)~\boxed{x=-\frac{ab}{b-a}}$