[tex] 9x^{2} + 4y^{2} =144 [/tex]
[tex]x^{2} + y^{2}=24[/tex]
[tex] 9x^{2} + 4y^{2} =144 [/tex]
[tex]4x^{2} + 4y^{2}=96[/tex]
by the difference
5[tex] x^{2} [/tex]=48
so x=[tex] \sqrt{\frac{48}{5}} [/tex] or x=-[tex] \sqrt{\frac{48}{5}} [/tex]
and [tex] y^{2} [/tex]=24-[tex] \frac{48}{5} [/tex]
then y=[tex] \sqrt{\frac{72}{5}} [/tex] or -[tex] \sqrt{\frac{48}{5}} [/tex]