Question

Ill give brainliest to whoever can answer this correctly

Answer 1

x = 5 and y = 6

Solution:

IJKL is a rectangle.

In rectangle, opposite sides are equal.

JK = IL

3x + 21 = 6y

Subtract 21 from both sides.

3x = 6y – 21

Divide by 3 on both sides, we get

x = 2y – 7 ---------- (1)

In rectangle, opposite sides are equal.

JI = KL

6y – 6 = 2x + 20

Substitute (1) in above equation, we get

6y – 6 = 2(2y – 7) + 20

6y – 6 = 4y – 14 + 20

6y – 6 = 4y + 6

Subtract 4y from both sides.

2y – 6 = 6

Add 6 on both sides.

2y = 12

y = 6

Substitute y = 6 in (1)

x = 2(6) – 7

x = 5

Hence x = 5 and y = 6.