Question

RESOLVER POR EL METODO DE REDUCCION:

4x+y=12
-2x+y=7

Con operaciones :)

Doy corona ;) ​

Answer 1

Respuesta:

$\begin{bmatrix}4x+y=12\\ -2x+y=7\end{bmatrix}\\\\\\\begin{bmatrix}-2\cdot \frac{12-y}{4}+y=7\end{bmatrix}\\\\\\\begin{bmatrix}\frac{-12+3y}{2}=7\end{bmatrix}\\\\\\\frac{2\left(-12+3y\right)}{2}=7\cdot \:2\\\\\\-12+3y=14\\\\\\-12+3y+12=14+12\\\\\\3y=26\\\\\\\frac{3y}{3}=\frac{26}{3}\\\\\\y=\frac{26}{3}$

x=$\frac{12-\frac{26}{3}}{4}$

x=$\frac{5}{6}$