Question

5 for what values of $x$ and $y$ must $abcd$ be a parallelogram? $ab=2y+2$, $ad=3x+6$, $bc=y+4$, $cd=3y-9$ $x=3$ $y=$ show hint

Explanation:

Step1: Set opposite sides equal (AB=DC)

$2y + 2 = 3y - 9$

Step2: Solve for y

$2 + 9 = 3y - 2y$
$11 = y$

Step3: Set opposite sides equal (AD=BC)

$3x + 6 = y + 4$

Step4: Substitute y=11, solve for x

$3x + 6 = 11 + 4$
$3x + 6 = 15$
$3x = 15 - 6$
$3x = 9$
$x = \frac{9}{3} = 3$

Answer:

$x=3$, $y=11$