Resuelva el sistema de ecuaciones lineales seleccionado (literal A, B, C, D o E) utilizando el método de eliminación de Gauss- Jordán. Asegúrese de validar el resultado utilizando herramientas computacionales como GeoGebra y sustente el ejercicio a través de un video no mayor a 9 minutos de duración, el cual deberá alojarse en una plataforma de videos por demanda con acceso público (Losu, YouTube, Vimeo, Teams, etc.). Incluya la comprobación del resultado y explique detalladamente el procedimiento de eliminación paso a paso. \[ \text { C. }\left\{\begin{array}{c}-x-y-4 z=8 \\ 4 x+6 y+2 z=20 \\ 23 x+27 y+22 z=12\end{array}\right\} \]

Remove the greatest common factor. \[ 7 x-14 x^{2}+2 x y \]

Resolver la siguiente ecuación en diferencias usando la transformada Z. \[ \begin{array}{l}x(n+3)-4 \cdot x(n+1)=3^{n} \\ x(0)=1 \\ x(1)=2 \\ x(1)=3\end{array} \]

Random Phenomenon: The amount of paint required to paint a wall depends largely on the material of the wall. Usually, one liter of paint is enough to cover 15 to 16 square meters of polished wooden wall. Measure the area of a wooden wall that you can paint with one liter of paint. Step 2 of 3 : What is the maximum value of the random variable \( X \) ? Input 'NoMax' If the maximum does not exist.

Choose every inequality that would require you to flip the inequality sign while solving it. Suppose we want the final answers to each have the variable on the left side. \( -14+3 x>-25 \) \( 14-3 x>25 \) \( -0.1<3.2 x+11.7 \) \( -12 x<4 \) \( 12 x>-4 \)

Assume that a procedure yields a binomial distribution with a trial repeated \( n \) times. Use the binomial probability formula to find the probability of \( x \) successes given the probability \( p \) of success on a single trial. \( n=16, x=3, p=0.25 \) \( P(3)=\square \) (Round to three decimal places as needed.)