Question

1. The following is a parallelogram. Find x and y using the given information.
AB DC
AB =5x-2y
DC = 4
AD = y
BC =5-x

Answer 1

Given : ABCD is a parallelogram
            AB =5x-2y
             DC = 4 
           AD = y
           BC =5-x

AB = DC ( opposite sides of parallelogram are equal)
5x -2y = 4 (1)

AD = BC
y = 5-x

Putting the value of y in equation 1

5x-2y =4
5x-2(5-x) =4

5x -10+2x =4

7x = 14

x = 2

Putting the value of x in eqution 2

5-x = y
5-2 =y
3 =y