Question

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

Answer 1

$9x^{2} + 4y^{2} =144$
$x^{2} + y^{2}=24$

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