Question

DOY CORONA
Para hoy pls

Answer 1

HOLA!!

$\boxed{ \boxed{ \mathbf{ \orange{ \underline{ \overline{\begin{bmatrix}5x-2y=-5\\ -3x-7y=-22\end{bmatrix}}}}}}}$

$\boxed{ \boxed{ \mathbf{ \orange{ \underline{ \overline{\mathrm{Sustituir\:}x=\frac{-5+2y}{5}}}}}}}$

$\begin{bmatrix}-3\cdot \dfrac{-5+2y}{5}-7y=-22\end{bmatrix}$

$\begin{bmatrix}\dfrac{15-41y}{5}=-22\end{bmatrix}$

$\boxed{ \boxed{ \mathbf{ \orange{ \underline{ \overline{Para\:}x=\dfrac{-5+2y}{5}}}}}}}$

$\underline{\huge{\boxed{\bold{Sustituir\:}y=\frac{125}{41}}}}}}$

$x=\dfrac{-5+2\cdot \dfrac{125}{41}}{5}$

$x=\dfrac{9}{41}$

COMPROVAMOS:

$\boxed{ \boxed{ \mathbf{ \orange{ \underline{ \overline{\begin{bmatrix}5x-2y=-5\\ -3x-7y=-22\end{bmatrix}}}}}}}$

Remplazamos x e y:

$5\cdot \dfrac{9}{41}-2\cdot \dfrac{125}{41} = -5$

$=\dfrac{45}{41}-\dfrac{250}{41} = -5$

$-5 = -5$

$-3\cdot \dfrac{9}{41}-7\cdot \dfrac{125}{41} = -22$

$-\dfrac{27}{41}-\dfrac{875}{41}$

$-22 = -22$