Answer:
x = 8.8
y = 2.4
Step-by-step explanation:
From the given parallelogram, we have the following:
2x - 4 = 4y ........................................................(1)
x + 4 = 7y - 4 ....................................................(2)
From equation (1)
2x - 4y = 4
Dividing both sides by 2, we have:
x - 2y = 4 ..............................................................(3)
From equation (2)
x - 7y = -4 - 4
x - 7y = -8 ............................................................(4)
Solving (3) and (4) simultaneously, we can obtain the values for x and y.
Subtract equation (4) from equation (3)
x - x - 2y - (-7y) = 4 - (-8)
-2y + 7y = 4 + 8
5y = 12
Divide both sides by 12
y = 12/5 or 2.4
From (3), using the value obtained for y, we have:
x - 2(12/5) = 4
x - 24/5 = 4
Add 24/5 to both sides
x = 4 + 24/5
= 44/5 or 8.8
Therefore, x = 8.8, and y = 2.4