Question

con resolucion es para una tarea

Answer 1

Respuesta:

$\begin{bmatrix}3x+2y=14\\ 2x-3y=4\end{bmatrix}$

Calculemos el valor de "y"

$\begin{bmatrix}3x+2y=14\\ 2x-3y=4\end{bmatrix}\\\\\\\begin{bmatrix}2\cdot \frac{14-2y}{3}-3y=4\end{bmatrix}\\\\\\\begin{bmatrix}\frac{28-13y}{3}=4\end{bmatrix}\\\\\\\frac{3\left(28-13y\right)}{3}=4\cdot \:3\\\\\\28-13y=12\\\\\\-13y=-16\\\\\\y=\frac{16}{13}$

Comprovemos con el valor de "x" :"D

$x=\frac{14-2y}{3}$

Resolvamos...

$x=\frac{14-2\cdot \frac{16}{13}}{3}\\\\\\x=\frac{14-\frac{32}{13}}{3}\\\\\\x=\frac{\frac{150}{13}}{3}\\\\\\x=\frac{150}{13\cdot \:3}\\\\\\x=\frac{150}{39}\\\\\\x=\frac{50}{13}$

Las soluciones son...

y=$\frac{16}{13}$     ,     x=$\frac{50}{13}$