Question

solve each system using the eliminatio

1. $\

$$\begin{cases} x + y = -2 \\\\ -x - 3y = 14 \\end{cases}$$

$

Explanation:

Step1: Add the two equations

$$(x + y) + (-x - 3y) = -2 + 14$$
$$x + y - x - 3y = 12$$
$$-2y = 12$$

Step2: Solve for $y$

$$y = \frac{12}{-2} = -6$$

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

$$x + (-6) = -2$$
$$x - 6 = -2$$

Step4: Solve for $x$

$$x = -2 + 6 = 4$$

Answer:

$x=4$, $y=-6$