SOLUTION: solve the following proportion 7/2= z-5/z-3

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Question 414255: solve the following proportion
7/2= z-5/z-3

Answer by algebrahouse.com(1659) About Me  (Show Source):
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solve the following proportion
7/2 = (z-5)/(z-3)

To solve a proportion, just cross-multiply.

7(z - 3) = 2(z - 5) {cross-multiplied diagonally}
7z - 21 = 2z - 10 {used distributive property}
7z = 2z + 11 {added 21 to both sides}
5z = 11 {subtracted 2z from both sides}
z = 11/5 {divided both sides by 5}
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