Question

encuentra la solución del sistema de ecuaciones.
$-10x - y = -29$
$10x + 7y = 23$

Explanation:

Step1: Add the two equations

$$(-10x - y) + (10x + 7y) = -29 + 23$$
Simplify: $6y = -6$

Step2: Solve for $y$

$$y = \frac{-6}{6} = -1$$

Step3: Substitute $y=-1$ into first equation

$$-10x - (-1) = -29$$
Simplify: $-10x + 1 = -29$

Step4: Solve for $x$

$$-10x = -29 - 1 = -30$$
$$x = \frac{-30}{-10} = 3$$

Answer:

$x=3$, $y=-1$