Question 818722
 Let:
x=1st number
y=2nd number
1st eq. x^2 - y^2 = 84 
 2nd eq. x^2 -2y^2= 68 

Solution:

{{{x^2 - y^2 = 84  }}}
{{{ x^2=84+y^2}}}
Substitution:
{{{ (84+y^2)-2y^2=68}}}
{{{ y^2-2y^2=68-84}}}
{{{ -y^2=-16}}} = {{{ y^2=16}}}
{{{ sqrt (y^2)=sqrt (16)}}}
{{{ y=4}}}

{{{ x^2 -(4)^2=84}}}
{{{ x^2 - 16=84}}}
{{{ x^2=100}}}
{{{sqrt (x^2)= sqrt (100) }}}
{{{ x=10}}}

FINAL ANSWER:

{{{ y=4}}}
{{{ x=10}}}