Question

por método de reducción 5x-2y=4 3x+2y=9​

Answer 1

Explicación paso a paso:

$\begin{bmatrix}5x-2y=4\\ 3x+2y=9\end{bmatrix}\\\\\\\mathrm{Sustituir\:}x=\frac{4+2y}{5}\\\\\\\begin{bmatrix}3\cdot \frac{4+2y}{5}+2y=9\end{bmatrix}\\\\\\\begin{bmatrix}\frac{12+16y}{5}=9\end{bmatrix}\\\\\\\mathrm{Para\:}x=\frac{4+2y}{5}\\\\\\\mathrm{Sustituir\:}y=\frac{33}{16}\\\\\\x=\frac{4+2\cdot \frac{33}{16}}{5}\\\\\\x=\frac{13}{8}\\\\\\x=\frac{13}{8},\:y=\frac{33}{16}$