Question Number 33659 by mondodotto@gmail.com last updated on 21/Apr/18
$$\:\boldsymbol{\mathrm{solve}}\:\boldsymbol{\mathrm{for}}\:\boldsymbol{\mathrm{x}}\:\boldsymbol{\mathrm{and}}\:\boldsymbol{\mathrm{y}} \\ $$$$\:\boldsymbol{\mathrm{cosh}{y}}−\mathrm{7}\boldsymbol{\mathrm{sinh}{x}}=\mathrm{3}\:\boldsymbol{\mathrm{and}} \\ $$$$\:\boldsymbol{\mathrm{cosh}{y}}−\mathrm{3}\boldsymbol{\mathrm{sinh}}^{\mathrm{2}} \boldsymbol{{x}}=\mathrm{2} \\ $$
Answered by MJS last updated on 21/Apr/18
$${I}−{II} \\ $$$$\mathrm{3sinh}^{\mathrm{2}} \:{x}−\mathrm{7sinh}\:{x}−\mathrm{1}=\mathrm{0} \\ $$$$\mathrm{sinh}^{\mathrm{2}} \:{x}−\frac{\mathrm{7}}{\mathrm{3}}\mathrm{sinh}\:{x}−\frac{\mathrm{1}}{\mathrm{3}}=\mathrm{0} \\ $$$$\mathrm{can}\:\mathrm{you}\:\mathrm{go}\:\mathrm{on}\:\mathrm{from}\:\mathrm{here}? \\ $$
Commented by mondodotto@gmail.com last updated on 21/Apr/18
$$\mathrm{yah},\mathrm{thank}\:\mathrm{you} \\ $$