Question

1. \\( y = -x - 2 \\)\\( 5x - 3y = 22 \\)

Explanation:

Step1: Substitute $y$ into the second equation

Substitute $y=-x-2$ into $5x-3y=22$:
$5x - 3(-x - 2) = 22$

Step2: Simplify and solve for $x$

Expand and combine like terms:
$5x + 3x + 6 = 22$
$8x + 6 = 22$
$8x = 22 - 6$
$8x = 16$
$x = \frac{16}{8} = 2$

Step3: Substitute $x$ to find $y$

Plug $x=2$ into $y=-x-2$:
$y = -2 - 2 = -4$

Answer:

$x=2$, $y=-4$