166k views
12 votes
Pls help I don’t know to find the answer

Pls help I don’t know to find the answer-example-1

1 Answer

5 votes

Explanation:

the diagonals of a parallelogram are crossing each other exactly at their midpoints. that means the lengths of both sides of a diagonal are equal.

so, we get

x = 7y - 16

and

2x + 5 = 5y

we can use the first equation as an identity directly in the second equation and get

2(7y - 16) + 5 = 5y

14y - 32 + 5 = 5y

14y - 27 = 5y

9y - 27 = 0

9y = 27

y = 3

x = 7y - 16 = 7×3 - 16 = 21 - 16 = 5

User Brain Foo Long
by
3.7k points