Solve the simultaneous equations $$y = (1 + \mathrm{e}^{x})(1 - \mathrm{e}^{x}),$$ \[x = \ln(y + 1).

Question

Solve the simultaneous equations $$y = (1 + \mathrm{e}^{x})(1 - \mathrm{e}^{x}),$$ $$x = \ln(y + 1).$$[5]

Accepted Answer

$x=0,y=0$

2012 RI H1 Promo Q2