Question

encuentra la solución del sistema de ecuaciones.
$x - y = -3$
$-8x + y = 45$

Explanation:

Step1: Add the two equations

$$(x - y) + (-8x + y) = -3 + 45$$
$$x - 8x - y + y = 42$$
$$-7x = 42$$

Step2: Solve for $x$

$$x = \frac{42}{-7} = -6$$

Step3: Substitute $x=-6$ into first equation

$$-6 - y = -3$$

Step4: Solve for $y$

$$-y = -3 + 6$$
$$-y = 3$$
$$y = -3$$

Answer:

$x=-6$, $y=-3$