Question

Variables y and x have proportional relationship and y=21 when x=14 what is the value of x when y=12

Answer 1

The value of x is 8 when y = 12 if variables x and y have proportional relationship.

According to the given question.

Variables y and x have proportional relationship.

⇒ y ∝ x

Let k be the constant of proportionality.

⇒ y = kx

Also, it is given that

y = 21 when x = 14

Substitute the value of y = 21 and x = 14 in y = kx to find the value of k.

21 = k(14)

⇒  k = 21/14

⇒ k = 3/2

Therefore, the value of x when y = 12

y = kx

⇒ 12 = (3/2)x

⇒ 12 × 2 = 3x

⇒ 24 = 3x

⇒ x = 24/3

⇒ x = 8

Hence, the value of x is 8 when y = 12.

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Answer 2

Answer:

x = 8

Step-by-step explanation:

Formula: y = kx

21 = k(14) --> k = 21/14 = 3/2

y = 3/2 x

When y = 12:

12 = 3/2 x

24 = 3x

x = 8