5.47 Fe + 0 Mn + 1.20 Cu + 0 Zn = 0.355
1.49 Fe + 5.96 Mn + 0.33 Cu + 0.90 Zn = 0345
0 Fe + 10.43 Mn + 0 Cu + 0.90 Zn = 0.4233
9.95 Fe + 1.99 Mn + 1.08 Cu + 2.69 Zn = 0.588
You asked:
Solve the system of equations:\[\begin{aligned}5.47 F e + 0 M n + 1.20 C u + 0 Z n &= 0.355\\1.49 F e + 5.96 M n + 0.33 C u + 0.90 Z n &= 0345\\0 F e + 10.43 M n + 0 C u + 0.90 Z n &= 0.4233\\9.95 F e + 1.99 M n + 1.08 C u + 2.69 Z n &= 0.588\end{aligned}\]
MathBot Answer:
The system of equations has infinitely many solutions.
$$\begin{aligned}C &= \frac{123804295186459}{61793721675 u}\\F &= - \frac{3620797500367}{8239162890 e}\\M &= - \frac{2078018528517}{27463876300 n}\\Z &= \frac{10326361291081}{11770232700 n}\end{aligned}$$\(n\) is a free variable.
\(u\) is a free variable.