Question

3y - 2x = 2
8y + 6x = -6
(Determinantes)​

Answer 1

Respuesta:

Explicación paso a paso:

Por comodidad ordeno:

$\left \{ {{2x - 3y = -2} \atop {6x + 8y = -6}} \right.$

Matriz del sistema:

$A = \left[\begin{array}{cc}2&-3\\6&8\\\end{array}\right]$

$det(A) = 2.8 + 6.3 = 16 + 18 = 34$

$x = \frac{det\left[\begin{array}{ccc}-2&-3\\-6&8\\\end{array}\right] }{34 } =\frac{-34}{34} = -1$

$y = \frac{det\left[\begin{array}{ccc}2&-2\\6&-6\\\end{array}\right] }{34 } =\frac{0}{34} = 0$