Question

find the values of the variables. then find the side lengths of the square.
(there is a square diagram with side labels: top side (2x - 10), right side (2y - 8), bottom side (2y - 8), left side (y - 3), and right angles at each corner.)
(x = square), (y = square)

Explanation:

Step1: Set equal sides for square

$y-3 = 2y-8$

Step2: Solve for y

Subtract $y$ and add 8: $-3 + 8 = 2y - y$ → $y=5$

Step3: Set side equal to x-term

$2x-10 = y-3$

Step4: Substitute y=5, solve for x

$2x-10 = 5-3$ → $2x-10=2$ → $2x=12$ → $x=6$

Step5: Calculate side length

Substitute x=6: $2(6)-10=12-10=2$

Answer:

$x=6$, $y=5$
Side length of the square: $2$