m*A + n*B = i *C
m+n = i
You asked:
Solve the system of equations:\[\begin{aligned}m A + n B &= i C\\m + n &= i\end{aligned}\]
MathBot Answer:
The system of equations has infinitely many solutions.
$$\begin{aligned}A &= \frac{B n - C i}{n - i}\\m &= - n + i\end{aligned}$$\(B\) is a free variable.
\(C\) is a free variable.
\(n\) is a free variable.