Question

find the values of the variables. then find the side lengths of the square
x = \square, y = \square

Explanation:

Step1: Set equal sides for x

$6x - 1 = 3x + 8$
$6x - 3x = 8 + 1$
$3x = 9$
$x = 3$

Step2: Set equal sides for y

$y + 3 = 2y - 9$
$3 + 9 = 2y - y$
$y = 12$

Step3: Calculate side length

Substitute $x=3$ into $6x -1$: $6(3)-1=17$
Substitute $y=12$ into $y+3$: $12+3=17$

Answer:

$x=3$, $y=12$, side length=17