Question

if x varies directly with 5y and x= 15 and y= 75 find the value of y when x is 7​

Answer 1

Step-by-step explanation:

The value of y when x=7 is 35

Step-by-step explanation:

\textbf{Given:}Given:

\text{x varies directly with 5y }x varies directly with 5y

\implies\,x=k\,5y⟹x=k5y

\text{x=15 when y=75}x=15 when y=75

\implies\,15=k\,5(75)⟹15=k5(75)

\implies\,1=k\,5(5)⟹1=k5(5)

\implies\,1=k\,(25)⟹1=k(25)

\implies\,k=\frac{1}{25}⟹k=

25

1

\therefore\boxed{x=\frac{1}{5}\,y}∴

x=

5

1

y

\text{when x=7,}when x=7,

7=\frac{1}{5}\,y7=

5

1

y

\implies\,y=35⟹y=35