How do I solve the system of equations graphically, accurate to the nearest thousandth

(x^2/2) + (y^2/5) = 1

y=(1/3)x

4 answers

To be able to graph accurately to a thousandth of a unit would obviously require a graphing calculator or computer which allows to to "zoom" in on the intersection.
Since we do not know what type of equipment you are using, we really cannot help you with the actual steps.
Your manual should describe that.

Your equations are
1. an ellipse with centre at the origin and
2. a straight line passing through the origin.

clearly there would be two solutions.
i have a graphing calculator TI-83 Plus
Do you use that calculator?
Yeah, i have that calculator too