Question

let y varies directly as x.if y=15 when x=5,then write a linear equation.​

Answer 1

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Answer 2

The required linear equation is 3x - y = 0  

Given:

y varies directly as x

y = 15 and x = 5

To find:

Write a linear equation

Solution:

Given y varies directly as x

⇒ y ∝ x

⇒ y = kx ---- (1) [ here k is an arbitrary constant ]

Given that y = 15 and x = 5  

Substitute above values in equation (1)

15 = k5 ---- (1)

⇒ k  = 15/5 = 3

⇒ k = 3

Now substitute k = 3 in (1)

⇒ y = 3x

⇒ 3x - y = 0

Therefore, required linear equation is 3x - y = 0  

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