200z=($x^{2}$/2)+($y^{2}$/24)
20z=x
4z=y/12
You asked:
Solve the system of equations:\[\begin{aligned}200 z &= \frac{{x}^{2}}{2} + \frac{{y}^{2}}{24}\\20 z &= x\\4 z &= \frac{y}{12}\end{aligned}\]
MathBot Answer:
The system of equations has \(2\) solutions.
\[x = 0, y = 0, z = 0\]\[x = \frac{500}{37}, y = \frac{1200}{37}, z = \frac{25}{37}\]