Question 1014202: In parallelogram ABCD, AB=7x+y, BC=15, CD=x+28 and AD=x+y. Find x and y.
Answer by ikleyn(52803)   (Show Source):
You can put this solution on YOUR website! .
In parallelogram ABCD, AB=7x+y, BC=15, CD=x+28 and AD=x+y. Find x and y.
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AB = CD ---> 7x + y = x + 28.
BC = AD ---> 15 = x + y.
So, you have this system of two equations for x and y:
7x + y = x + 28.
15 = x + y.
Simplify:
6x + y = 28, (1)
x + y = 15. (2)
To solve it, distract the equation (2) from (1). You will get
5x = 28-15 = 13,
x =  .
From this point please complete the solution youself.
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