Answer:
3/5=x/z
Step-by-step explanation:
7x=3y
7(3)=3(7)
21=21
5y=7z
5(7)=7z (plug in the seven from the first step)
35=7z
then divide both sides by 7
5=z
therefore, X/Z=3/5
The value of the expression x/z is 3/5.
Simplification of an expression is the process of writing an expression in the most efficient and compact form without affecting the value of the original expression.
For the given situation,
The expressions are
7x=3y ------ (1)
5y=7z ------ (2)
From equation 1,
[tex]7x=3y[/tex]
⇒ [tex]x=\frac{3y}{7}[/tex]
From equation 2,
[tex]5y=7z[/tex]
⇒ [tex]z=\frac{5y}{7}[/tex]
Now, [tex]\frac{x}{z}= \frac{\frac{3y}{7} }{\frac{5y}{7} }[/tex]
⇒ [tex]\frac{x}{z}=(\frac{3y}{7})(\frac{7}{5y} )[/tex]
⇒ [tex]\frac{x}{z}=(\frac{3}{5})[/tex]
Hence we can conclude that the value of the expression x/z is 3/5.
Learn more about simplification of an expression here
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