Question 469800
{{{system(5x+8y=5,3x-8y=-61)}}}
From the first equation {{{8y=5-5x}}} substitute into the second equation
{{{system(8y=5-5x,3x-(5-5x)=-61)}}}
{{{3x-5+5x=-61}}}
{{{8x=-61+5}}}
{{{8x=-56}}}
{{{x=-56/8}}}
{{{x=-7}}}
Substitute {{{x=-7}}} into the first equation
{{{8y=5-5*(-7)}}} 
{{{8y=40}}} 
{{{y=40/8}}} 
{{{y=5}}}
Answer: (-7,5)
Check
{{{system(5*(-7)+8*5=5,3*(-7)-8*5=-61)}}}
{{{system(5=5,-61=-61)}}}-correct