ac=3X+25cm
bc=5x+5cm
ab=x
You asked:
Solve the system of equations:\[\begin{aligned}a c &= 3 X + 25 c m\\b c &= 5 x + 5 c m\\a b &= x\end{aligned}\]
MathBot Answer:
The system of equations has infinitely many solutions.
$$\begin{aligned}X &= \frac{c^{2} x}{15 \left(c m + x\right)} - \frac{25 c m}{3}\\a &= \frac{c x}{5 \left(c m + x\right)}\\b &= \left\{\frac{5 \left(c m + x\right)}{c}\right\} \setminus \left\{0\right\}\end{aligned}$$\(c\) is a free variable.
\(m\) is a free variable.
\(x\) is a free variable.