Math Problem Solver

The system of equations has no solution.

Solve $3833 x z + 4600 y z = 20045737530$ for $x$. $$x = \frac{10 \left(- 460 y z + 2004573753\right)}{3833 z}$$Substitute $\frac{10 \left(- 460 y z + 2004573753\right)}{3833 z}$ for $x$ in each of the remaining equations and simplify. $$\begin{aligned}3720 x z + 4236 y z &= 19026386568 \\ 3720 \left(\frac{10 \left(- 460 y z + 2004573753\right)}{3833 z}\right) z + 4236 y z &= 19026386568 \\ \frac{875412 y z}{3833} - \frac{74570143611600}{3833} &= -19026386568 \end{aligned}$$$$\begin{aligned}3781 x z + 4547 y z &= 19780166700 \\ 3781 \left(\frac{10 \left(- 460 y z + 2004573753\right)}{3833 z}\right) z + 4547 y z &= 19780166700 \\ \frac{36051 y z}{3833} + \frac{75792933600930}{3833} &= 19780166700 \end{aligned}$$