Question 1033052
Add the equations
{{{ 5x + 6y = 13 }}}
{{{ -5x + 2y = 11 }}}
------------------
{{{ 8y = 24 }}}
{{{ y = 3 }}}
------------
Now plug this result back into 
either equation to find {{{ x }}}
{{{ 5x + 6*3 = 13 }}}
{{{ 5x + 18 = 13 }}}
{{{ 5x = -5 }}}
{{{ x = -1 }}}
---------------
check solutions:
{{{ 5*(-1) + 6*3 = 13 }}}
{{{ -5 + 18 = 13 }}}
{{{ 13 = 13 }}}
OK
-------------------
{{{ -5*(-1) + 2*3 = 11 }}}
{{{ 5 + 6 = 11 }}}
{{{ 11 = 11 }}}
OK