5.47 Fe + 0 Mn + 1.20 Cu + 0 Zn = 0.303
1.49 Fe + 5.96 Mn + 0.33 Cu + 0.90 Zn = 0.183
0 Fe + 10.43 Mn + 0 Cu + 0.90 Zn = 0.126
9.95 Fe + 1.99 Mn + 1.08 Cu + 2.69 Zn = 0.334
You asked:
Solve the system of equations:\[\begin{aligned}5.47 F e + 0 M n + 1.20 C u + 0 Z n &= 0.303\\1.49 F e + 5.96 M n + 0.33 C u + 0.90 Z n &= 0.183\\0 F e + 10.43 M n + 0 C u + 0.90 Z n &= 0.126\\9.95 F e + 1.99 M n + 1.08 C u + 2.69 Z n &= 0.334\end{aligned}\]
MathBot Answer:
The system of equations has infinitely many solutions.
$$\begin{aligned}C &= \frac{104415512}{274638763 u}\\F &= - \frac{76934313}{2746387630 e}\\M &= \frac{8209728}{1373193815 n}\\Z &= \frac{27744431}{392341090 n}\end{aligned}$$\(n\) is a free variable.
\(u\) is a free variable.