Question

Determine el conjunto solución, si existe, de los
siguientes sistemas utilizando el método de determinantes

a. {
5m − 2n = 13
m + 3n = 6

Answer 1

Respuesta:

Explicación paso a paso:

$\left[\begin{array}{ccc}5&-2\\1&3\end{array}\right] = (5)(3)-(1)(-2)= (15)-(-2)= 17\\\left[\begin{array}{ccc}13&-2\\6&3\\\end{array}\right] = (13)(3)-(6)(-2)= (39)-(-12)=51\\\left[\begin{array}{ccc}5&13\\1&6\\\end{array}\right] =(5)(6)-(13)(1)= (30)-(13)=43\\m= \frac{51}{17} =3\\n= \frac{43}{17} = 2.53\\\\5m - 2n=13\\ m+3n= 6\\\\5(3)-2(2.53)=13 \\3+ 3(2.53)=6$