(c*g)/(a*e) = 2/5
(d*a + d*c)/(a*b*e + a*d*e) = 3/10
g/f = 1/10
You asked:
Solve the system of equations:\[\begin{aligned}\frac{c g}{a e} &= \frac{2}{5}\\\frac{d a + d c}{a b e + a d e} &= \frac{3}{10}\\\frac{g}{f} &= \frac{1}{10}\end{aligned}\]
MathBot Answer:
The system of equations has infinitely many solutions.
$$\begin{aligned}a &= \frac{5 c g}{2 e}\\b &= - d + \frac{10 d}{3 e} + \frac{4 d}{3 g}\\f &= 10 g\end{aligned}$$\(c\) is a free variable.
\(d\) is a free variable.
\(g\) is a free variable.