Question

1. -7x - 2y = -13

x - 2y = 11

Explanation:

Step1: Restate the system of equations

$$\begin{cases} -7x - 2y = -13 \quad (1) \\ x - 2y = 11 \quad (2) \end{cases}$$

Step2: Subtract equation (2) from (1)

$$(-7x - 2y) - (x - 2y) = -13 - 11$$
$$-7x -2y -x +2y = -24$$
$$-8x = -24$$

Step3: Solve for $x$

$$x = \frac{-24}{-8} = 3$$

Step4: Substitute $x=3$ into (2)

$$3 - 2y = 11$$
$$-2y = 11 - 3$$
$$-2y = 8$$

Step5: Solve for $y$

$$y = \frac{8}{-2} = -4$$

Answer:

$x=3$, $y=-4$