8. Conic Sections

Graph each ellipse and locate the foci. x² = 1 – 4y²

Graph each ellipse and locate the foci. 7x² = 35-5y²

Graph each ellipse and locate the foci. x²/49 +y²/81 = 1

Find the solution set for each system by graphing both of the system's equations in the same rectangular coordinate system and finding points of intersection. Check all solutions in both equations.

$\(\begin{cases}\)4x^2 + y^2 = 4 \\2x - y = 2\(\end{cases}\)$