Question

find the value of x and y in the parallelogram below.
(image of a parallelogram with sides labeled -5x - 3, 93, 5y + 3, 62)

Explanation:

Step1: Set equal opposite sides for x

Opposite sides of a parallelogram are equal, so $-5x - 3 = 62$.

Step2: Solve for x

$-5x = 62 + 3 = 65$ → $x = \frac{65}{-5} = -13$.

Step3: Set equal opposite sides for y

Opposite sides of a parallelogram are equal, so $5y + 3 = 93$.

Step4: Solve for y

$5y = 93 - 3 = 90$ → $y = \frac{90}{5} = 18$.

Answer:

$x = -13$, $y = 18$