x*y +1.5 y a2a^{2} = 11.5

x+2y 3.25\sqrt{3.25} = 6.86

asked by guest
on Mar 26, 2025 at 6:18 pm



You asked:

Solve the system of equations:xy+1.5ya2=11.5x+2y3.25=6.86\begin{aligned}x y + 1.5 y {a}^{2} &= 11.5\\x + 2 y \sqrt{3.25} &= 6.86\end{aligned}

MathBot Answer:

The system of equations has infinitely many solutions.

a=35013y2343y+575y15x=13y+34350\begin{aligned}a &= - \frac{\sqrt{3} \sqrt{\frac{50 \sqrt{13} y^{2} - 343 y + 575}{y}}}{15}\\x &= - \sqrt{13} y + \frac{343}{50}\end{aligned}

yy is a free variable.