In Rectangle IJKL find x and y

Step-by-step explanation:

In rectangle opposite sides are equal

2x + 20 = 6y - 6

2x - 6y = -6 -20

2x - 6y = -26 (i)

6y = 3x + 21 (ii)

Put 6y value in equation (i)

2x - (3x + 21) = -26

2x - 3x - 21 = -26

-x - 21 = -26

-x = -26 + 21

-x =  -5

x =5

Put x = 5 in (ii)

6y = 3*5  + 21

6y = 15 +21

6y = 36

y = 36/6

y =6

Check:

6y - 6 = 6*6 - 6 = 36 - 6= 30

2x + 20 = 2*5 + 20 = 10+20 = 30

Opposite sides are equal

-8/2y-8=5/y+4-7y+8/y^2-16

we move all terms to the left:

-8/2y-8-(5/y+4-7y+8/y^2-16)=0

we can not solve this equation