Respuesta:
[tex]x=-\frac{37}{5},\:y=\frac{88}{5}[/tex]
Explicación:
[tex]\begin{bmatrix}-x+y=25\\ y+4x=-12\end{bmatrix}\\\\-x+y=25 :x=-25+y\\\\\begin{bmatrix}y+4\left(-25+y\right)=-12\end{bmatrix}\\\\\begin{bmatrix}5y-100=-12\end{bmatrix}\\\\5y-100+100=-12+100\\\\5y=88\\\\\frac{5y}{5}=\frac{88}{5}\\\\y=\frac{88}{5}\\\\\mathrm{Para\:}x=-25+y, y=\frac{88}{5}\\\\x=-\frac{37}{5}[/tex]
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Verified answer
Respuesta:
[tex]x=-\frac{37}{5},\:y=\frac{88}{5}[/tex]
Explicación:
[tex]\begin{bmatrix}-x+y=25\\ y+4x=-12\end{bmatrix}\\\\-x+y=25 :x=-25+y\\\\\begin{bmatrix}y+4\left(-25+y\right)=-12\end{bmatrix}\\\\\begin{bmatrix}5y-100=-12\end{bmatrix}\\\\5y-100+100=-12+100\\\\5y=88\\\\\frac{5y}{5}=\frac{88}{5}\\\\y=\frac{88}{5}\\\\\mathrm{Para\:}x=-25+y, y=\frac{88}{5}\\\\x=-\frac{37}{5}[/tex]