m*A + n*B = i *C

m+n = i

asked by guest
on Sep 23, 2024 at 9:29 am



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.