5x+10y+0.05z=100
x+y+z=100
You asked:
Solve the system of equations:\[\begin{aligned}5 x + 10 y + 0.05 z &= 100\\x + y + z &= 100\end{aligned}\]
MathBot Answer:
The system of equations has infinitely many solutions.
$$\begin{aligned}x &= 180 - \frac{199 z}{100}\\y &= \frac{99 z}{100} - 80\end{aligned}$$
\(z\) is a free variable.