Question 1058114
x^2+y^2=31
x+y=5
y=(5-x)
x^2+(5-x)^2=31
x^2+25-10x+x^2=31
2x^2-10x-6=0
x^2-5x-3=0
x=(1/2)(5+/- sqrt(25+12)); sqrt (37)=6.083)
x=(1/2)(11.083)=5.54
x=(1/2)(-1.083)=-0.54
(5.54,-0.54) and (-0.54,5.54), correct within rounding error.
It is a line intersecting a circle centered on the origin with radius sqrt (31)