SOLUTION: In parallelogram ABCD, AB=7x+y, BC=15, CD=x+28 and AD=x+y. Find x and y.

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!
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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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