If y varies inversely as x and y = 9 when x = 14, find why when x = 6.?

Question

Please help me. I'm no good at this! : [

ooops! Sorry why is actually "y".
Sorry, I'm having trouble with algebra.

Answer 1

x α 1/y
x = k * 1/y
x = k / y

When x = 14, y = 9:
x = k / y
14 = k / 9
14 * 9 = k
126 = k

When x = 6, y = ?:
x = k / y
y = k / x
y = 126 / 6
y = 21

Answer 2

1) y is just a letter to represent a variable, that`s all.

2) If you are told that y varies as x, that is telling you that x and

y are connected by an equation.

3) If you are told, as you are in this one, that y varies inversely

as x, that is telling you that y is equal to something over x, and

that something we usually name as k, and it is called the

constant. Now, hoping that is clear, let`s have a look at your

question

"y varies inversely as x", so we write

y~1/x (had to use ~ as I do not have the variation sign), so

y = k/x, where k is a constant. You are told that when x = 14,

y = 9, so we substitute these values into the equation, so,

9 = k/14 Multiply each side by 14:

9 x 14 = k, so,

k = 126, and

y = 126/x.

Having got the relationship between x and y, we can now

find y when x = 6, by substituting x = 6 into y = 126/x, giving:

y = 126/6, so,

when x = 6, y = 21. Hope this helps, Twiggy.

Answer 3

y varies inversely as x => xy = constant k
when x = 9, y = 14 => (9)(14) = k or k = 126
therefore xy = 126
when x = 6 => y = 126/x = 126/6 = 21

Answer 4

Ratio:
9:14 = y:6

Equation:
14y = 9 * 6
14y = 54
y = 27/7

Answer: y = 27/7 or 3 6/7 when x = 6

Proof:
= 9/14 * 6
= 54/14
= 27/7 or 3 6/7

Answer 5

y = k / x
k = x y = 14 (9) = 126
y = 126 /x = 126 / 6 = 21

Answer 6

y = k/x

y=9 when x=14
9= k/14
k=126
substitute
y=126/x

when x=6
y=126/6
y=21

Answer 7

xy = XY

(14)(9) = 6Y

Y = 21
.