2 Answers

DozenCrows · Answer 1 · 2019-06-19T19:14:05+0000

For this case we have that by definition, if the variables "y" and "x" have a proportional relation, and
y = 9 when
x = 2 , then:

$\frac {x} {y} = \frac {2} {9}$

Now, we want to know the value of the variable "y" when
x = 3 , then:

$\frac {3} {y} = \frac {2} {9}$

Clearing "y" we have:

We multiply by "y" on both sides of the equation:

$y * \frac {3} {y} = y * \frac {2} {9}\\3 = \frac {2y} {9}$

We multiply by 9 on both sides:

$9 * 3 = \frac {2y} {9} * 9\\27 = 2y$

We divide by 2 on both sides:

$\frac {27} {2} = \frac {2y} {2}\\y = 13.5$

So, when
x = 3 then
y = 13.5

Answer:

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