Question

AYUDA.............................

Answer 1

Resolución

$\begin{bmatrix}5x+7y=-1\\ -3x+4y=-24\end{bmatrix}$

Resolvemos la 1ra ecuacion

$5x+7y=-1\\5x=-1-7y\\x=\frac{-1-7y}{5}$

Remplazamos y sustituimos "x" en la 2da ecuacion

$x=\frac{-1-7y}{5}$

$-3\cdot (\frac{-1-7y}{5})+4y=-24$

$\frac{3+41y}{5}=-24$

Despejamos "y"

$3+41y=-24(5)\\3+41y=-120\\41y=-120-3\\41y=-123\\y=-123/41\\y=-3$

Despejamos "x" en la 1ra ecuacion

$5x+7y=-1$

$5x+7(-3)=-1\\5x-21=-1\\5x=-1+21\\5x=20\\x=20/5\\x=4$

Entonces

$x=4\\y=-3$

R = {4;3}