S StoreyM New member Joined May 22, 2012 Messages 1 May 22, 2012 #1 I got an extra credit problem and I have no idea how to start solving it: xy+y+x=11 x^2(y)+y^2(x)=30
tkhunny Moderator Staff member Joined Apr 12, 2005 Messages 11,325 May 23, 2012 #2 xy+y+x=11 x^2(y)+y^2(x)=30 Have you cinsidered factoring to the best of your ability? y(x+1) + x = 11 xy(x+y) = 30 Tinker with it a little: x + y = 11 - xy, so that xy(11-xy) = 30. There's a relatively simple quadratic in xy. You could just solve one for something: y = (11-x)/(x+1) and see where it leads. Exploration!!! That's why it's extra credit.
xy+y+x=11 x^2(y)+y^2(x)=30 Have you cinsidered factoring to the best of your ability? y(x+1) + x = 11 xy(x+y) = 30 Tinker with it a little: x + y = 11 - xy, so that xy(11-xy) = 30. There's a relatively simple quadratic in xy. You could just solve one for something: y = (11-x)/(x+1) and see where it leads. Exploration!!! That's why it's extra credit.