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Question Number 33659 by mondodotto@gmail.com last updated on 21/Apr/18

 solve for x and y   coshy−7sinhx=3 and   coshy−3sinh^2 x=2

$$\:\boldsymbol{\mathrm{solve}}\:\boldsymbol{\mathrm{for}}\:\boldsymbol{\mathrm{x}}\:\boldsymbol{\mathrm{and}}\:\boldsymbol{\mathrm{y}} \\ $$$$\:\boldsymbol{\mathrm{cosh}{y}}−\mathrm{7}\boldsymbol{\mathrm{sinh}{x}}=\mathrm{3}\:\boldsymbol{\mathrm{and}} \\ $$$$\:\boldsymbol{\mathrm{cosh}{y}}−\mathrm{3}\boldsymbol{\mathrm{sinh}}^{\mathrm{2}} \boldsymbol{{x}}=\mathrm{2} \\ $$

Answered by MJS last updated on 21/Apr/18

I−II  3sinh^2  x−7sinh x−1=0  sinh^2  x−(7/3)sinh x−(1/3)=0  can you go on from here?

$${I}−{II} \\ $$$$\mathrm{3sinh}^{\mathrm{2}} \:{x}−\mathrm{7sinh}\:{x}−\mathrm{1}=\mathrm{0} \\ $$$$\mathrm{sinh}^{\mathrm{2}} \:{x}−\frac{\mathrm{7}}{\mathrm{3}}\mathrm{sinh}\:{x}−\frac{\mathrm{1}}{\mathrm{3}}=\mathrm{0} \\ $$$$\mathrm{can}\:\mathrm{you}\:\mathrm{go}\:\mathrm{on}\:\mathrm{from}\:\mathrm{here}? \\ $$

Commented by mondodotto@gmail.com last updated on 21/Apr/18

yah,thank you

$$\mathrm{yah},\mathrm{thank}\:\mathrm{you} \\ $$

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