ethanb1
contestada

solve systems of equation. equation number 1: 9 x squared + 4 y squared equals 144. equation 2: x squared plus y squared equals 24

Respuesta :

[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]