24A+83B+5C=661

29A+81B+5C=735

asked by guest
on Oct 22, 2024 at 8:30 pm



You asked:

Solve the system of equations:\[\begin{aligned}24 A + 83 B + 5 C &= 661\\29 A + 81 B + 5 C &= 735\end{aligned}\]

MathBot Answer:

The system of equations has infinitely many solutions.

$$\begin{aligned}A &= \frac{7464}{463} - \frac{10 C}{463}\\B &= \frac{1529}{463} - \frac{25 C}{463}\end{aligned}$$

\(C\) is a free variable.