Question

Ley de cramer
7×+5y=50
3×-5y=0
​

Answer 1

Explicación paso a paso:

Por Método de Cramer:

$\begin{bmatrix} 1 & 5 & |50 \\ 3& - 5& |0\end{bmatrix} \\ \\ \triangle x = \begin{vmatrix} 50 & 5 \\ 0& - 5 \end{vmatrix} = (50)( - 5) - (0)(5) = - 250 - 0 = - 250 \\ \\ \triangle y = \begin{vmatrix} 1 & 5 0 \\ 3& 0 \end{vmatrix} = (1)( 0) - (3)(50) = 0 - 150 = - 150 \\ \\ \triangle = \begin{vmatrix} 1 & 5 \\ 3& - 5 \end{vmatrix} = (1)( - 5) - (3)(5) = - 5 - 15 = - 20 \\ \\ x = \frac{\triangle x}{\triangle} = \frac{ - 250}{ - 20} = \frac{25}{2} \\ \\ y= \frac{\triangle y}{\triangle} = \frac{ - 150}{ - 20} = \frac{15}{2}$