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# If and , what is the value of ​ expressed as a common fraction?

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If $$2x = 5y$$ and $$7y = 10z$$, what is the value of $$\frac{z}{x}$$  expressed as a common fraction?

Dec 29, 2017

### Best Answer

#3
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2x  =  5y     ⇒    y  =  (2/5)x      (1)

7y = 10z     (2)

Sub  (1)  into (2)

7 [(2/5)x]  = 10z

[14/5] x  =  10z

z / x  =   14 / 50   =   7 / 25   Dec 29, 2017

### 3+0 Answers

#1
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Well, young person! Here is another FAST answer!

x=12.5, y=5, z=3.5, So:

z/x = 3.5 / 12.5 =1 / (3 4/7) =7/25

Dec 29, 2017
#2
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thanks, guest! Dec 29, 2017
#3
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Best Answer

2x  =  5y     ⇒    y  =  (2/5)x      (1)

7y = 10z     (2)

Sub  (1)  into (2)

7 [(2/5)x]  = 10z

[14/5] x  =  10z

z / x  =   14 / 50   =   7 / 25   CPhill Dec 29, 2017