Question

Really need help understanding! Very stuck on this question! ABCD is a parallelogram. Find the value of x and y.

Answers:

A. x = 35; y = -4
B. x = 10; y = 19
C. x = 4; y = 2
D. x = 3; y = 4

Answer 1

2x + y = 10
x + 4y = 19 so x = 19 - 4y

substitute x = 19 - 4y into 2x + y = 10

2x + y = 10
2(19 - 4y) + y = 10
38 - 8y + y = 10
-7y = -28
y = 4

x = 19 - 4y
x = 19 - 4(4)
x = 19 - 16
x = 3

x = 3 and y = 4

answer
D. x = 3; y = 4