Question 1121767
{{{system(6x-11=y,xy=7)}}}

{{{graph(600,600,-15,15,-15,15,6x-11,7/x)}}}

{{{6x-11=7/x}}} Multiply each side by x to get

{{{6x^2-11x=7}}}

{{{6x^2-11x-7=0}}} 

{{{(2x+1)(3x-7)=0}}}

{{{system(x=-1/2,x=7/3)}}} I assume you want the positive root so x=7/3 and y=3. Check, 7/3*6=14-11=3 (7/3)*3=7 The graph I have shown intersect at the points (7/3,3) and (-1/2,-14) as you notice or the solutions to x and y.